What is LCM of 21, 42 and 63?
step 1Address input values.
Integers: 21 42 63
lcm (21, 42, 63) = ?
step 2Arrange the group of numbers in the horizontal form with space or comma separated format
21, 42 and 63
step 3Choose the divisor which divides each or most of the integers of in the group (21, 42 and 63), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if the integer is not divisible by the divisor. Repeat the same process until all the integers are brought to 1.
| LCM of 21, 42 and 63 | |||
|---|---|---|---|
| 21 | 21 | 42 | 63 |
| 2 | 1 | 2 | 3 |
| 3 | 1 | 1 | 3 |
| 1 | 1 | 1 | |
21 x 2 x 3 = 126
LCM(21, 42, 63) = 126
The least common multiple for three numbers 21, 42 and 63 is 126
LCM of 63 and 21
FAQs on LCM of 63 and 21
What is the LCM of 63 and 21?
The LCM of 63 and 21 is 63. To find the LCM of 63 and 21, we need to find the multiples of 63 and 21 (multiples of 63 = 63, 126, 189, 252; multiples of 21 = 21, 42, 63, 84) and choose the smallest multiple that is exactly divisible by 63 and 21, i.e., 63.
What are the Methods to Find LCM of 63 and 21?
The commonly used methods to find the LCM of 63 and 21 are:
- Listing Multiples
- Division Method
- Prime Factorization Method
What is the Relation Between GCF and LCM of 63, 21?
The following equation can be used to express the relation between GCF and LCM of 63 and 21, i.e. GCF × LCM = 63 × 21.
If the LCM of 21 and 63 is 63, Find its GCF.
LCM(21, 63) × GCF(21, 63) = 21 × 63
Since the LCM of 21 and 63 = 63
⇒ 63 × GCF(21, 63) = 1323
Therefore, the greatest common factor = 1323/63 = 21.
How to Find the LCM of 63 and 21 by Prime Factorization?
To find the LCM of 63 and 21 using prime factorization, we will find the prime factors, (63 = 3 × 3 × 7) and (21 = 3 × 7). LCM of 63 and 21 is the product of prime factors raised to their respective highest exponent among the numbers 63 and 21.
⇒ LCM of 63, 21 = 32 × 71 = 63.
Sours: https://www.cuemath.com/numbers/lcm-of-63-and-21/
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What is the Least Common Multiple (LCM) of 21 and 63? Here we will show you step-by-step how to find the Least Common Multiple of 21 and 63.
Step 1)First we find and list the prime factors of 21 and 63 (Prime Factorization):
Prime Factors of 21:
3, 7
Prime Factors of 63:
3, 3, 7
Step 2)Then we look at the frequency of the prime factors as they appear in each set above. List each prime factor the greatest number of times it occurs in either sets:
3, 3, 7
Step 3)Finally, we multiply the prime numbers from Step 2 together.
3 x 3 x 7 = 63
That's it. The Least Common Multiple (LCM) of 21 and 63 is 63.
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Least Common Multiple (LCM) of 21 and 64
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The question "What is the LCM and GCF of 21 and 63?" can be split into two questions: "What is the LCM of 21 and 63?" and "What is the GCF of 21 and 63?"
In the question "What is the LCM and GCF of 21 and 63?", LCM is the abbreviation of Least Common Multiple and GCF is the abbreviation of Greatest Common Factor.
To find the LCM, we first list the multiples of 21 and 63 and then we find the smallest multiple they have in common. To find the multiples of any number, you simply multiply the number by 1, then by 2, then by 3 and so on. Here is the beginning list of multiples of 21 and 63:
Multiples of 21: 21, 42, 63, 84, 105, 126, etc.
Multiples of 63: 63, 126, 189, 252, 315, 378, etc.
The least multiple on the two lists that they have in common is the LCM of 21 and 63. Therefore, the LCM of 21 and 63 is 63.
To find the GCF, we first list the factors of 21 and 63 and then we find the largest factor they have in common. The factors of any number, are all the numbers that you can evenly divide into that number.
In other words, the factors of 21 are all the numbers that can evenly divide into 21, and the factors of 63 are all the numbers that can evenly divide into 63. Here are the factors for 21 and 63:
Factors of 21: 1, 3, 7, and 21.
Factors of 63: 1, 3, 7, 9, 21, and 63.
The greatest factor on the two lists that they have in common is the GCF of 21 and 63. Therefore, the GCF of 21 and 63 is 21.
In summary, the answer to the question "What is the LCM and GCF of 21 and 63?" is 63 and 21.
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What is the LCM and GCF of 21 and 64?
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Of 21 and lcm 63
What is the least common multiple of 21 and 63?
How to find the Least Common Multiple (LCM)
Definition
The least common multiple (LCM) of a set of numbers is the lowest positive number that is a multiple of every number in that set.
Supose you want to find the Least Common Multiple (LCM) for 6 and 8, notation LCM(6,8):
The LCM of 6 and 8 is 24 because 24 is the smallest number that is both a multiple of 6 and a multiple of 8. This calculator uses the listing multiples method. This method consisits of writing out a list of the lowest multiples of each number, and look for the lowest multiple both numbers have in common. In this example we have:
- Multiples of 6: 6, 12, 18, 24. Note that 6 = 6 x 1, 12 = 6 x 2, 18 = 6 x 3, 24 = 6 x 4, 30 = 6 x 5
- Multiples of 8: 8, 16, 24. Also note that 8 = 8 x1, 16 = 8 x 2, 24 = 8 x 3, 32 = 8 x 4, ...
The LCM is also known as:
- lowest common multiple
- smallest common multiple
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