Least Common Multiple of 506, 6872

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 506, 6872 i.e. 1738616 smallest integer divisible by all numbers.

Least common multiple (LCM) of 506, 6872 is 1738616.

LCM(506, 6872) = 1738616

LCM of 506, 6872

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

LCM of:

Least Common Multiple of 506,6872

Least Common Multiple (LCM) of 506,6872 is 1738616

2 506, 6872
253, 3436

∴ So the LCM of the given numbers is 2 x 253 x 3436 = 1738616

Least Common Multiple of 506,6872 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 506,6872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,6872) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(506,6872) x common factors =2 x 1 = 2

LCM(506,6872) = ( 506 × 6872 ) / 2

LCM(506,6872) = 3477232 / 2

LCM(506,6872) = 1738616

∴ Least Common Multiple of 506,6872 is 1738616

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 506, 6872

1. What is the LCM of 506, 6872?

Answer: LCM of 506, 6872 is 1738616.

2. What are the Factors of 1738616?

Answer: Factors of 1738616 are . There are integers that are factors of 1738616

3. How to Find the LCM of 506, 6872 ?

Least Common Multiple of 506, 6872.

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(506, 6872) = 2 x 2 x 2 x 11 x 23 x 859 = 1738616.