Least Common Multiple of 8, 68, 872

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 8, 68, 872 i.e. 14824 smallest integer divisible by all numbers.

Least common multiple (LCM) of 8, 68, 872 is 14824.

LCM(8, 68, 872) = 14824

LCM of 8, 68, 872

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

LCM of:

Least Common Multiple of 8,68,872

Least Common Multiple (LCM) of 8,68,872 is 14824

2 8, 68, 872
2 4, 34, 436
2 2, 17, 218
1, 17, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 17 x 109 = 14824

Least Common Multiple of 8,68,872 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 8,68,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,68,872) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(8,68,872) x common factors =4 x 8 = 32

LCM(8,68,872) = ( 8 × 68 × 872 ) / 32

LCM(8,68,872) = 474368 / 32

LCM(8,68,872) = 14824

∴ Least Common Multiple of 8,68,872 is 14824

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 8, 68, 872

1. What is the LCM of 8, 68, 872?

Answer: LCM of 8, 68, 872 is 14824.

2. What are the Factors of 14824?

Answer: Factors of 14824 are . There are integers that are factors of 14824

3. How to Find the LCM of 8, 68, 872 ?

Least Common Multiple of 8, 68, 872.

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(8, 68, 872) = 2 x 2 x 2 x 17 x 109 = 14824.