Least Common Multiple of 313, 690, 90

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 313, 690, 90 i.e. 647910 smallest integer divisible by all numbers.

Least common multiple (LCM) of 313, 690, 90 is 647910.

LCM(313, 690, 90) = 647910

LCM of 313, 690, 90

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

LCM of:

Least Common Multiple of 313,690,90

Least Common Multiple (LCM) of 313,690,90 is 647910

2 313, 690, 90
3 313, 345, 45
5 313, 115, 15
313, 23, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 313 x 23 x 3 = 647910

Least Common Multiple of 313,690,90 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 313,690,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,690,90) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(313,690,90) x common factors =1 x 30 = 30

LCM(313,690,90) = ( 313 × 690 × 90 ) / 30

LCM(313,690,90) = 19437300 / 30

LCM(313,690,90) = 647910

∴ Least Common Multiple of 313,690,90 is 647910

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 313, 690, 90

1. What is the LCM of 313, 690, 90?

Answer: LCM of 313, 690, 90 is 647910.

2. What are the Factors of 647910?

Answer: Factors of 647910 are . There are integers that are factors of 647910

3. How to Find the LCM of 313, 690, 90 ?

Least Common Multiple of 313, 690, 90.

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(313, 690, 90) = 2 x 3 x 3 x 5 x 23 x 313 = 647910.