Least Common Multiple of 369, 205, 678

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, 205, 678 i.e. 416970 smallest integer divisible by all numbers.

Least common multiple (LCM) of 369, 205, 678 is 416970.

LCM(369, 205, 678) = 416970

LCM of 369, 205, 678

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

LCM of:

Least Common Multiple of 369,205,678

Least Common Multiple (LCM) of 369,205,678 is 416970

3 369, 205, 678
41 123, 205, 226
3, 5, 226

∴ So the LCM of the given numbers is 3 x 41 x 3 x 5 x 226 = 416970

Least Common Multiple of 369,205,678 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 369,205,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,205,678) = 1

common factors(in case of two or more numbers have common factors) = 123

GCF(369,205,678) x common factors =1 x 123 = 123

LCM(369,205,678) = ( 369 × 205 × 678 ) / 123

LCM(369,205,678) = 51287310 / 123

LCM(369,205,678) = 416970

∴ Least Common Multiple of 369,205,678 is 416970

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, 205, 678

1. What is the LCM of 369, 205, 678?

Answer: LCM of 369, 205, 678 is 416970.

2. What are the Factors of 416970?

Answer: Factors of 416970 are . There are integers that are factors of 416970

3. How to Find the LCM of 369, 205, 678 ?

Least Common Multiple of 369, 205, 678.

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, 205, 678) = 2 x 3 x 3 x 5 x 41 x 113 = 416970.