Least Common Multiple of 36, 68, 85, 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 36, 68, 85, 710 i.e. 217260 smallest integer divisible by all numbers.

Least common multiple (LCM) of 36, 68, 85, 710 is 217260.

LCM(36, 68, 85, 710) = 217260

LCM of 36, 68, 85, 710

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

LCM of:

Least Common Multiple of 36,68,85,710

Least Common Multiple (LCM) of 36,68,85,710 is 217260

2 36, 68, 85, 710
2 18, 34, 85, 355
5 9, 17, 85, 355
17 9, 17, 17, 71
9, 1, 1, 71

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 9 x 1 x 1 x 71 = 217260

Least Common Multiple of 36,68,85,710 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 36,68,85,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,68,85,710) = 1

common factors(in case of two or more numbers have common factors) = 680

GCF(36,68,85,710) x common factors =1 x 680 = 680

LCM(36,68,85,710) = ( 36 × 68 × 85 × 710 ) / 680

LCM(36,68,85,710) = 147736800 / 680

LCM(36,68,85,710) = 217260

∴ Least Common Multiple of 36,68,85,710 is 217260

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 36, 68, 85, 710

1. What is the LCM of 36, 68, 85, 710?

Answer: LCM of 36, 68, 85, 710 is 217260.

2. What are the Factors of 217260?

Answer: Factors of 217260 are . There are integers that are factors of 217260

3. How to Find the LCM of 36, 68, 85, 710 ?

Least Common Multiple of 36, 68, 85, 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(36, 68, 85, 710) = 2 x 2 x 3 x 3 x 5 x 17 x 71 = 217260.