Least Common Multiple of 369, 846

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 369, 846 i.e. 34686 smallest integer divisible by all numbers.

Least common multiple (LCM) of 369, 846 is 34686.

LCM(369, 846) = 34686

LCM of 369, 846

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

LCM of:

Least Common Multiple of 369,846

Least Common Multiple (LCM) of 369,846 is 34686

3 369, 846
3 123, 282
41, 94

∴ So the LCM of the given numbers is 3 x 3 x 41 x 94 = 34686

Least Common Multiple of 369,846 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 369,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,846) = 9

common factors(in case of two or more numbers have common factors) = 1

GCF(369,846) x common factors =9 x 1 = 9

LCM(369,846) = ( 369 × 846 ) / 9

LCM(369,846) = 312174 / 9

LCM(369,846) = 34686

∴ Least Common Multiple of 369,846 is 34686

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 369, 846

1. What is the LCM of 369, 846?

Answer: LCM of 369, 846 is 34686.

2. What are the Factors of 34686?

Answer: Factors of 34686 are . There are integers that are factors of 34686

3. How to Find the LCM of 369, 846 ?

Least Common Multiple of 369, 846.

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(369, 846) = 2 x 3 x 3 x 41 x 47 = 34686.