Least Common Multiple of 135, 852, 308, 424, 710

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 135, 852, 308, 424, 710 i.e. 312931080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 135, 852, 308, 424, 710 is 312931080.

LCM(135, 852, 308, 424, 710) = 312931080

LCM of 135, 852, 308, 424, 710

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

LCM of:

Least Common Multiple of 135,852,308,424,710

Least Common Multiple (LCM) of 135,852,308,424,710 is 312931080

2 135, 852, 308, 424, 710
2 135, 426, 154, 212, 355
3 135, 213, 77, 106, 355
5 45, 71, 77, 106, 355
71 9, 71, 77, 106, 71
9, 1, 77, 106, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 71 x 9 x 1 x 77 x 106 x 1 = 312931080

Least Common Multiple of 135,852,308,424,710 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 135,852,308,424,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,852,308,424,710) = 1

common factors(in case of two or more numbers have common factors) = 34080

GCF(135,852,308,424,710) x common factors =1 x 34080 = 34080

LCM(135,852,308,424,710) = ( 135 × 852 × 308 × 424 × 710 ) / 34080

LCM(135,852,308,424,710) = 10664691206400 / 34080

LCM(135,852,308,424,710) = 312931080

∴ Least Common Multiple of 135,852,308,424,710 is 312931080

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 135, 852, 308, 424, 710

1. What is the LCM of 135, 852, 308, 424, 710?

Answer: LCM of 135, 852, 308, 424, 710 is 312931080.

2. What are the Factors of 312931080?

Answer: Factors of 312931080 are . There are integers that are factors of 312931080

3. How to Find the LCM of 135, 852, 308, 424, 710 ?

Least Common Multiple of 135, 852, 308, 424, 710.

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(135, 852, 308, 424, 710) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 53 x 71 = 312931080.