Least Common Multiple of 13, 17, 90, 213

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 13, 17, 90, 213 i.e. 1412190 smallest integer divisible by all numbers.

Least common multiple (LCM) of 13, 17, 90, 213 is 1412190.

LCM(13, 17, 90, 213) = 1412190

LCM of 13, 17, 90, 213

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

LCM of:

Least Common Multiple of 13,17,90,213

Least Common Multiple (LCM) of 13,17,90,213 is 1412190

3 13, 17, 90, 213
13, 17, 30, 71

∴ So the LCM of the given numbers is 3 x 13 x 17 x 30 x 71 = 1412190

Least Common Multiple of 13,17,90,213 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 13,17,90,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,17,90,213) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(13,17,90,213) x common factors =1 x 3 = 3

LCM(13,17,90,213) = ( 13 × 17 × 90 × 213 ) / 3

LCM(13,17,90,213) = 4236570 / 3

LCM(13,17,90,213) = 1412190

∴ Least Common Multiple of 13,17,90,213 is 1412190

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 13, 17, 90, 213

1. What is the LCM of 13, 17, 90, 213?

Answer: LCM of 13, 17, 90, 213 is 1412190.

2. What are the Factors of 1412190?

Answer: Factors of 1412190 are . There are integers that are factors of 1412190

3. How to Find the LCM of 13, 17, 90, 213 ?

Least Common Multiple of 13, 17, 90, 213.

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(13, 17, 90, 213) = 2 x 3 x 3 x 5 x 13 x 17 x 71 = 1412190.