Least Common Multiple of 17, 57, 52, 342

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 17, 57, 52, 342 i.e. 151164 smallest integer divisible by all numbers.

Least common multiple (LCM) of 17, 57, 52, 342 is 151164.

LCM(17, 57, 52, 342) = 151164

LCM of 17, 57, 52, 342

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

LCM of:

Least Common Multiple of 17,57,52,342

Least Common Multiple (LCM) of 17,57,52,342 is 151164

2 17, 57, 52, 342
3 17, 57, 26, 171
19 17, 19, 26, 57
17, 1, 26, 3

∴ So the LCM of the given numbers is 2 x 3 x 19 x 17 x 1 x 26 x 3 = 151164

Least Common Multiple of 17,57,52,342 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 17,57,52,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,57,52,342) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(17,57,52,342) x common factors =1 x 114 = 114

LCM(17,57,52,342) = ( 17 × 57 × 52 × 342 ) / 114

LCM(17,57,52,342) = 17232696 / 114

LCM(17,57,52,342) = 151164

∴ Least Common Multiple of 17,57,52,342 is 151164

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 17, 57, 52, 342

1. What is the LCM of 17, 57, 52, 342?

Answer: LCM of 17, 57, 52, 342 is 151164.

2. What are the Factors of 151164?

Answer: Factors of 151164 are . There are integers that are factors of 151164

3. How to Find the LCM of 17, 57, 52, 342 ?

Least Common Multiple of 17, 57, 52, 342.

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(17, 57, 52, 342) = 2 x 2 x 3 x 3 x 13 x 17 x 19 = 151164.