Least Common Multiple of 396, 125, 198, 295, 974

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 396, 125, 198, 295, 974 i.e. 1422283500 smallest integer divisible by all numbers.

Least common multiple (LCM) of 396, 125, 198, 295, 974 is 1422283500.

LCM(396, 125, 198, 295, 974) = 1422283500

LCM of 396, 125, 198, 295, 974

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

LCM of:

Least Common Multiple of 396,125,198,295,974

Least Common Multiple (LCM) of 396,125,198,295,974 is 1422283500

2 396, 125, 198, 295, 974
3 198, 125, 99, 295, 487
3 66, 125, 33, 295, 487
5 22, 125, 11, 295, 487
11 22, 25, 11, 59, 487
2, 25, 1, 59, 487

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 11 x 2 x 25 x 1 x 59 x 487 = 1422283500

Least Common Multiple of 396,125,198,295,974 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 396,125,198,295,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,125,198,295,974) = 1

common factors(in case of two or more numbers have common factors) = 1980

GCF(396,125,198,295,974) x common factors =1 x 1980 = 1980

LCM(396,125,198,295,974) = ( 396 × 125 × 198 × 295 × 974 ) / 1980

LCM(396,125,198,295,974) = 2816121330000 / 1980

LCM(396,125,198,295,974) = 1422283500

∴ Least Common Multiple of 396,125,198,295,974 is 1422283500

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 396, 125, 198, 295, 974

1. What is the LCM of 396, 125, 198, 295, 974?

Answer: LCM of 396, 125, 198, 295, 974 is 1422283500.

2. What are the Factors of 1422283500?

Answer: Factors of 1422283500 are . There are integers that are factors of 1422283500

3. How to Find the LCM of 396, 125, 198, 295, 974 ?

Least Common Multiple of 396, 125, 198, 295, 974.

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(396, 125, 198, 295, 974) = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 11 x 59 x 487 = 1422283500.