Least Common Multiple of 452, 600, 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 452, 600, 678 i.e. 67800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 452, 600, 678 is 67800.

LCM(452, 600, 678) = 67800

LCM of 452, 600, 678

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

LCM of:

Least Common Multiple of 452,600,678

Least Common Multiple (LCM) of 452,600,678 is 67800

2 452, 600, 678
2 226, 300, 339
3 113, 150, 339
113 113, 50, 113
1, 50, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 113 x 1 x 50 x 1 = 67800

Least Common Multiple of 452,600,678 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 452,600,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,600,678) = 2

common factors(in case of two or more numbers have common factors) = 1356

GCF(452,600,678) x common factors =2 x 1356 = 2712

LCM(452,600,678) = ( 452 × 600 × 678 ) / 2712

LCM(452,600,678) = 183873600 / 2712

LCM(452,600,678) = 67800

∴ Least Common Multiple of 452,600,678 is 67800

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 452, 600, 678

1. What is the LCM of 452, 600, 678?

Answer: LCM of 452, 600, 678 is 67800.

2. What are the Factors of 67800?

Answer: Factors of 67800 are . There are integers that are factors of 67800

3. How to Find the LCM of 452, 600, 678 ?

Least Common Multiple of 452, 600, 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(452, 600, 678) = 2 x 2 x 2 x 3 x 5 x 5 x 113 = 67800.