Least Common Multiple of 338, 421, 509

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 338, 421, 509 i.e. 72429682 smallest integer divisible by all numbers.

Least common multiple (LCM) of 338, 421, 509 is 72429682.

LCM(338, 421, 509) = 72429682

LCM of 338, 421, 509

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

LCM of:

Least Common Multiple of 338,421,509

Least Common Multiple (LCM) of 338,421,509 is 72429682

Given numbers has no common factors except 1. So, there LCM is their product i.e 72429682

Least Common Multiple of 338,421,509 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 338,421,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,421,509) = 1

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

GCF(338,421,509) x common factors =1 x 1 = 1

LCM(338,421,509) = ( 338 × 421 × 509 ) / 1

LCM(338,421,509) = 72429682 / 1

LCM(338,421,509) = 72429682

∴ Least Common Multiple of 338,421,509 is 72429682

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 338, 421, 509

1. What is the LCM of 338, 421, 509?

Answer: LCM of 338, 421, 509 is 72429682.

2. What are the Factors of 72429682?

Answer: Factors of 72429682 are . There are integers that are factors of 72429682

3. How to Find the LCM of 338, 421, 509 ?

Least Common Multiple of 338, 421, 509.

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(338, 421, 509) = 2 x 13 x 13 x 421 x 509 = 72429682.