Least Common Multiple of 213, 371, 314, 144, 159

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 213, 371, 314, 144, 159 i.e. 595517328 smallest integer divisible by all numbers.

Least common multiple (LCM) of 213, 371, 314, 144, 159 is 595517328.

LCM(213, 371, 314, 144, 159) = 595517328

LCM of 213, 371, 314, 144, 159

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

LCM of:

Least Common Multiple of 213,371,314,144,159

Least Common Multiple (LCM) of 213,371,314,144,159 is 595517328

2 213, 371, 314, 144, 159
3 213, 371, 157, 72, 159
53 71, 371, 157, 24, 53
71, 7, 157, 24, 1

∴ So the LCM of the given numbers is 2 x 3 x 53 x 71 x 7 x 157 x 24 x 1 = 595517328

Least Common Multiple of 213,371,314,144,159 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 213,371,314,144,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,371,314,144,159) = 1

common factors(in case of two or more numbers have common factors) = 954

GCF(213,371,314,144,159) x common factors =1 x 954 = 954

LCM(213,371,314,144,159) = ( 213 × 371 × 314 × 144 × 159 ) / 954

LCM(213,371,314,144,159) = 568123530912 / 954

LCM(213,371,314,144,159) = 595517328

∴ Least Common Multiple of 213,371,314,144,159 is 595517328

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 213, 371, 314, 144, 159

1. What is the LCM of 213, 371, 314, 144, 159?

Answer: LCM of 213, 371, 314, 144, 159 is 595517328.

2. What are the Factors of 595517328?

Answer: Factors of 595517328 are . There are integers that are factors of 595517328

3. How to Find the LCM of 213, 371, 314, 144, 159 ?

Least Common Multiple of 213, 371, 314, 144, 159.

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(213, 371, 314, 144, 159) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 53 x 71 x 157 = 595517328.