Least Common Multiple of 34, 338, 624

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 34, 338, 624 i.e. 137904 smallest integer divisible by all numbers.

Least common multiple (LCM) of 34, 338, 624 is 137904.

LCM(34, 338, 624) = 137904

LCM of 34, 338, 624

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

LCM of:

Least Common Multiple of 34,338,624

Least Common Multiple (LCM) of 34,338,624 is 137904

2 34, 338, 624
13 17, 169, 312
17, 13, 24

∴ So the LCM of the given numbers is 2 x 13 x 17 x 13 x 24 = 137904

Least Common Multiple of 34,338,624 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 34,338,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,338,624) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(34,338,624) x common factors =2 x 26 = 52

LCM(34,338,624) = ( 34 × 338 × 624 ) / 52

LCM(34,338,624) = 7171008 / 52

LCM(34,338,624) = 137904

∴ Least Common Multiple of 34,338,624 is 137904

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 34, 338, 624

1. What is the LCM of 34, 338, 624?

Answer: LCM of 34, 338, 624 is 137904.

2. What are the Factors of 137904?

Answer: Factors of 137904 are . There are integers that are factors of 137904

3. How to Find the LCM of 34, 338, 624 ?

Least Common Multiple of 34, 338, 624.

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(34, 338, 624) = 2 x 2 x 2 x 2 x 3 x 13 x 13 x 17 = 137904.