168
Calculate the LCM The least common multiple of 8, 21 and 24 is 168.
What is the common multiple of 8 and 21?
The LCM of 8 and 21 is 168. To find the least common multiple (LCM) of 8 and 21, we need to find the multiples of 8 and 21 (multiples of 8 = 8, 16, 24, 32 . . . . 168; multiples of 21 = 21, 42, 63, 84 . . . . 168) and choose the smallest multiple that is exactly divisible by 8 and 21, i.e., 168.
What are the factors of 8 and 21?
What is the GCF of 8 and 21
- The factors of 8 are 8, 4, 2, 1.
- The factors of 21 are 21, 7, 3, 1.
- The common factors of 8 and 21 are 1, intersecting the two sets above.
- In the intersection factors of 8 ∩ factors of 21 the greatest element is 1.
- Therefore, the greatest common factor of 8 and 21 is 1.
How to get the least common multiple of 8 and 28?
To get the Least Common Multiple (LCM) of 8 and 28 we need to factor each value first and then we choose all the factors which appear in any column and multiply them: The Least Common Multiple (LCM) is: 2 x 2 x 2 x 7 = 56.
How to calculate the LCM of 21 and 28?
First we will calculate the prime factors of 21 and 28. Prime factors of 21 are 3, 7. Prime factorization of 21 in exponential form is: Prime factors of 28 are 2, 7. Prime factorization of 28 in exponential form is: Now multiplying the highest exponent prime factors to calculate the LCM of 21 and 28.
Which is the formula for the least common multiple?
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b). We need to calculate greatest common factor 8 and 28, than apply into the LCM equation. Least Common Multiple (LCM) of 8 and 28 with Primes. Least common multiple can be found by multiplying the highest exponent prime factors of 8 and 28.
What are the prime factors of 21 and 28?
Prime factors of 21 are 3, 7. Prime factorization of 21 in exponential form is: Prime factors of 28 are 2, 7. Prime factorization of 28 in exponential form is: Now multiplying the highest exponent prime factors to calculate the LCM of 21 and 28.
