Least Common Multiple of 59, 76, 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 59, 76, 342 i.e. 40356 smallest integer divisible by all numbers.

Least common multiple (LCM) of 59, 76, 342 is 40356.

LCM(59, 76, 342) = 40356

LCM of 59, 76, 342

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

LCM of:

Least Common Multiple of 59,76,342

Least Common Multiple (LCM) of 59,76,342 is 40356

2 59, 76, 342
19 59, 38, 171
59, 2, 9

∴ So the LCM of the given numbers is 2 x 19 x 59 x 2 x 9 = 40356

Least Common Multiple of 59,76,342 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 59,76,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,76,342) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(59,76,342) x common factors =1 x 38 = 38

LCM(59,76,342) = ( 59 × 76 × 342 ) / 38

LCM(59,76,342) = 1533528 / 38

LCM(59,76,342) = 40356

∴ Least Common Multiple of 59,76,342 is 40356

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 59, 76, 342

1. What is the LCM of 59, 76, 342?

Answer: LCM of 59, 76, 342 is 40356.

2. What are the Factors of 40356?

Answer: Factors of 40356 are . There are integers that are factors of 40356

3. How to Find the LCM of 59, 76, 342 ?

Least Common Multiple of 59, 76, 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(59, 76, 342) = 2 x 2 x 3 x 3 x 19 x 59 = 40356.