Least Common Multiple of 508, 739, 705

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 508, 739, 705 i.e. 264665460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 508, 739, 705 is 264665460.

LCM(508, 739, 705) = 264665460

LCM of 508, 739, 705

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

LCM of:

Least Common Multiple of 508,739,705

Least Common Multiple (LCM) of 508,739,705 is 264665460

Given numbers has no common factors except 1. So, there LCM is their product i.e 264665460

Least Common Multiple of 508,739,705 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 508,739,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,739,705) = 1

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

GCF(508,739,705) x common factors =1 x 1 = 1

LCM(508,739,705) = ( 508 × 739 × 705 ) / 1

LCM(508,739,705) = 264665460 / 1

LCM(508,739,705) = 264665460

∴ Least Common Multiple of 508,739,705 is 264665460

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 508, 739, 705

1. What is the LCM of 508, 739, 705?

Answer: LCM of 508, 739, 705 is 264665460.

2. What are the Factors of 264665460?

Answer: Factors of 264665460 are . There are integers that are factors of 264665460

3. How to Find the LCM of 508, 739, 705 ?

Least Common Multiple of 508, 739, 705.

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(508, 739, 705) = 2 x 2 x 3 x 5 x 47 x 127 x 739 = 264665460.