Least Common Multiple of 34, 36, 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 34, 36, 342 i.e. 11628 smallest integer divisible by all numbers.

Least common multiple (LCM) of 34, 36, 342 is 11628.

LCM(34, 36, 342) = 11628

LCM of 34, 36, 342

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

LCM of:

Least Common Multiple of 34,36,342

Least Common Multiple (LCM) of 34,36,342 is 11628

2 34, 36, 342
3 17, 18, 171
3 17, 6, 57
17, 2, 19

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 2 x 19 = 11628

Least Common Multiple of 34,36,342 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 34,36,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,36,342) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(34,36,342) x common factors =2 x 18 = 36

LCM(34,36,342) = ( 34 × 36 × 342 ) / 36

LCM(34,36,342) = 418608 / 36

LCM(34,36,342) = 11628

∴ Least Common Multiple of 34,36,342 is 11628

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 34, 36, 342

1. What is the LCM of 34, 36, 342?

Answer: LCM of 34, 36, 342 is 11628.

2. What are the Factors of 11628?

Answer: Factors of 11628 are . There are integers that are factors of 11628

3. How to Find the LCM of 34, 36, 342 ?

Least Common Multiple of 34, 36, 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(34, 36, 342) = 2 x 2 x 3 x 3 x 17 x 19 = 11628.