Least Common Multiple of 351, 490, 570, 240

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 351, 490, 570, 240 i.e. 26142480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 351, 490, 570, 240 is 26142480.

LCM(351, 490, 570, 240) = 26142480

LCM of 351, 490, 570, 240

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

LCM of:

Least Common Multiple of 351,490,570,240

Least Common Multiple (LCM) of 351,490,570,240 is 26142480

2 351, 490, 570, 240
3 351, 245, 285, 120
5 117, 245, 95, 40
117, 49, 19, 8

∴ So the LCM of the given numbers is 2 x 3 x 5 x 117 x 49 x 19 x 8 = 26142480

Least Common Multiple of 351,490,570,240 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 351,490,570,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,490,570,240) = 1

common factors(in case of two or more numbers have common factors) = 900

GCF(351,490,570,240) x common factors =1 x 900 = 900

LCM(351,490,570,240) = ( 351 × 490 × 570 × 240 ) / 900

LCM(351,490,570,240) = 23528232000 / 900

LCM(351,490,570,240) = 26142480

∴ Least Common Multiple of 351,490,570,240 is 26142480

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 351, 490, 570, 240

1. What is the LCM of 351, 490, 570, 240?

Answer: LCM of 351, 490, 570, 240 is 26142480.

2. What are the Factors of 26142480?

Answer: Factors of 26142480 are . There are integers that are factors of 26142480

3. How to Find the LCM of 351, 490, 570, 240 ?

Least Common Multiple of 351, 490, 570, 240.

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(351, 490, 570, 240) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 13 x 19 = 26142480.