Least Common Multiple of 546, 455, 180, 200, 392

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 546, 455, 180, 200, 392 i.e. 1146600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 546, 455, 180, 200, 392 is 1146600.

LCM(546, 455, 180, 200, 392) = 1146600

LCM of 546, 455, 180, 200, 392

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

LCM of:

Least Common Multiple of 546,455,180,200,392

Least Common Multiple (LCM) of 546,455,180,200,392 is 1146600

2 546, 455, 180, 200, 392
2 273, 455, 90, 100, 196
2 273, 455, 45, 50, 98
3 273, 455, 45, 25, 49
5 91, 455, 15, 25, 49
7 91, 91, 3, 5, 49
13 13, 13, 3, 5, 7
1, 1, 3, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 13 x 1 x 1 x 3 x 5 x 7 = 1146600

Least Common Multiple of 546,455,180,200,392 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 546,455,180,200,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,455,180,200,392) = 1

common factors(in case of two or more numbers have common factors) = 3057600

GCF(546,455,180,200,392) x common factors =1 x 3057600 = 3057600

LCM(546,455,180,200,392) = ( 546 × 455 × 180 × 200 × 392 ) / 3057600

LCM(546,455,180,200,392) = 3505844160000 / 3057600

LCM(546,455,180,200,392) = 1146600

∴ Least Common Multiple of 546,455,180,200,392 is 1146600

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 546, 455, 180, 200, 392

1. What is the LCM of 546, 455, 180, 200, 392?

Answer: LCM of 546, 455, 180, 200, 392 is 1146600.

2. What are the Factors of 1146600?

Answer: Factors of 1146600 are . There are integers that are factors of 1146600

3. How to Find the LCM of 546, 455, 180, 200, 392 ?

Least Common Multiple of 546, 455, 180, 200, 392.

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(546, 455, 180, 200, 392) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 7 x 13 = 1146600.