Least Common Multiple of 40/608, 50/204, 966/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/608, 50/204, 966/636 quickly i.e. 24150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/608, 50/204, 966/636 is 24150.

LCM(40/608, 50/204, 966/636) = 24150

LCM of 40/608, 50/204, 966/636

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 40/608,50/204,966/636

Given numbers are 40/608,50/204,966/636

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 40,50,966

Least Common Multiple of Numerators i.e. LCM of 40,50,966 is 96600.

GCF of Denominators means GCF of 608,204,636 as per the given fractions.

GCF of 608,204,636 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,50,966

LCM of Fractions 40/608,50/204,966/636 is 24150

2 40, 50, 966
5 20, 25, 483
4, 5, 483

∴ So the LCM of the given numbers is 2 x 5 x 4 x 5 x 483 = 96600

Least Common Multiple of 40,50,966 with GCF Formula

Least Common Multiple of 40,50,966 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 40,50,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,50,966) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(40,50,966) x common factors =2 x 10 = 20

LCM(40,50,966) = ( 40 × 50 × 966 ) / 20

LCM(40,50,966) = 1932000 / 20

LCM(40,50,966) = 96600


Lets's calculate GCF of 608,204,636

2 608, 204, 636
2 304, 102, 318
152, 51, 159

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96600/4

Therefore the LCM of Fractions 40/608,50/204,966/636 is 24150

Greatest Common Factor of 608,204,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,204,636 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 608,204,636 . The biggest common factor number is the GCF number.
So the greatest common factor 608,204,636 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 40/608, 50/204, 966/636

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 40/608, 50/204, 966/636?

Answer: LCM of Numerators as per given numbers 40/608, 50/204, 966/636 is

LCM of Numerators i.e. for 40,50,966 is 96600

GCF of denominators i.e. for 608,204,636 is 4.

Thus, LCM of Fractions is 24150.Finally, LCM of Fractions for 40/608, 50/204, 966/636 is 24150.