Least Common Multiple of 12, 28, 64, 816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 12, 28, 64, 816 i.e. 22848 smallest integer divisible by all numbers.

Least common multiple (LCM) of 12, 28, 64, 816 is 22848.

LCM(12, 28, 64, 816) = 22848

LCM of 12, 28, 64, 816

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 12,28,64,816

Least Common Multiple (LCM) of 12,28,64,816 is 22848

2 12, 28, 64, 816
2 6, 14, 32, 408
2 3, 7, 16, 204
2 3, 7, 8, 102
3 3, 7, 4, 51
1, 7, 4, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 7 x 4 x 17 = 22848

Least Common Multiple of 12,28,64,816 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 12,28,64,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,28,64,816) = 4

common factors(in case of two or more numbers have common factors) = 192

GCF(12,28,64,816) x common factors =4 x 192 = 768

LCM(12,28,64,816) = ( 12 × 28 × 64 × 816 ) / 768

LCM(12,28,64,816) = 17547264 / 768

LCM(12,28,64,816) = 22848

∴ Least Common Multiple of 12,28,64,816 is 22848

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 12, 28, 64, 816

1. What is the LCM of 12, 28, 64, 816?

Answer: LCM of 12, 28, 64, 816 is 22848.

2. What are the Factors of 22848?

Answer: Factors of 22848 are . There are integers that are factors of 22848

3. How to Find the LCM of 12, 28, 64, 816 ?

Least Common Multiple of 12, 28, 64, 816.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(12, 28, 64, 816) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 = 22848.