Least Common Multiple of 82, 85, 90, 870

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 82, 85, 90, 870 i.e. 1819170 smallest integer divisible by all numbers.

Least common multiple (LCM) of 82, 85, 90, 870 is 1819170.

LCM(82, 85, 90, 870) = 1819170

LCM of 82, 85, 90, 870

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

LCM of:

Least Common Multiple of 82,85,90,870

Least Common Multiple (LCM) of 82,85,90,870 is 1819170

2 82, 85, 90, 870
3 41, 85, 45, 435
5 41, 85, 15, 145
41, 17, 3, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 41 x 17 x 3 x 29 = 1819170

Least Common Multiple of 82,85,90,870 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 82,85,90,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,85,90,870) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(82,85,90,870) x common factors =1 x 300 = 300

LCM(82,85,90,870) = ( 82 × 85 × 90 × 870 ) / 300

LCM(82,85,90,870) = 545751000 / 300

LCM(82,85,90,870) = 1819170

∴ Least Common Multiple of 82,85,90,870 is 1819170

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 82, 85, 90, 870

1. What is the LCM of 82, 85, 90, 870?

Answer: LCM of 82, 85, 90, 870 is 1819170.

2. What are the Factors of 1819170?

Answer: Factors of 1819170 are . There are integers that are factors of 1819170

3. How to Find the LCM of 82, 85, 90, 870 ?

Least Common Multiple of 82, 85, 90, 870.

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(82, 85, 90, 870) = 2 x 3 x 3 x 5 x 17 x 29 x 41 = 1819170.