Least Common Multiple of 402, 600, 376, 270

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 402, 600, 376, 270 i.e. 17004600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 402, 600, 376, 270 is 17004600.

LCM(402, 600, 376, 270) = 17004600

LCM of 402, 600, 376, 270

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

LCM of:

Least Common Multiple of 402,600,376,270

Least Common Multiple (LCM) of 402,600,376,270 is 17004600

2 402, 600, 376, 270
2 201, 300, 188, 135
2 201, 150, 94, 135
3 201, 75, 47, 135
5 67, 25, 47, 45
67, 5, 47, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 67 x 5 x 47 x 9 = 17004600

Least Common Multiple of 402,600,376,270 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 402,600,376,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,600,376,270) = 2

common factors(in case of two or more numbers have common factors) = 720

GCF(402,600,376,270) x common factors =2 x 720 = 1440

LCM(402,600,376,270) = ( 402 × 600 × 376 × 270 ) / 1440

LCM(402,600,376,270) = 24486624000 / 1440

LCM(402,600,376,270) = 17004600

∴ Least Common Multiple of 402,600,376,270 is 17004600

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 402, 600, 376, 270

1. What is the LCM of 402, 600, 376, 270?

Answer: LCM of 402, 600, 376, 270 is 17004600.

2. What are the Factors of 17004600?

Answer: Factors of 17004600 are . There are integers that are factors of 17004600

3. How to Find the LCM of 402, 600, 376, 270 ?

Least Common Multiple of 402, 600, 376, 270.

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(402, 600, 376, 270) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 47 x 67 = 17004600.