Least Common Multiple of 90, 395, 869

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 90, 395, 869 i.e. 78210 smallest integer divisible by all numbers.

Least common multiple (LCM) of 90, 395, 869 is 78210.

LCM(90, 395, 869) = 78210

LCM of 90, 395, 869

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

LCM of:

Least Common Multiple of 90,395,869

Least Common Multiple (LCM) of 90,395,869 is 78210

5 90, 395, 869
79 18, 79, 869
18, 1, 11

∴ So the LCM of the given numbers is 5 x 79 x 18 x 1 x 11 = 78210

Least Common Multiple of 90,395,869 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 90,395,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,395,869) = 1

common factors(in case of two or more numbers have common factors) = 395

GCF(90,395,869) x common factors =1 x 395 = 395

LCM(90,395,869) = ( 90 × 395 × 869 ) / 395

LCM(90,395,869) = 30892950 / 395

LCM(90,395,869) = 78210

∴ Least Common Multiple of 90,395,869 is 78210

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 90, 395, 869

1. What is the LCM of 90, 395, 869?

Answer: LCM of 90, 395, 869 is 78210.

2. What are the Factors of 78210?

Answer: Factors of 78210 are . There are integers that are factors of 78210

3. How to Find the LCM of 90, 395, 869 ?

Least Common Multiple of 90, 395, 869.

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(90, 395, 869) = 2 x 3 x 3 x 5 x 11 x 79 = 78210.