Least Common Multiple of 8/72, 38/204, 40/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/72, 38/204, 40/912 quickly i.e. 760/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/72, 38/204, 40/912 is 760/12.

LCM(8/72, 38/204, 40/912) = 760/12

LCM of 8/72, 38/204, 40/912

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 8/72,38/204,40/912

Given numbers are 8/72,38/204,40/912

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 8,38,40

Least Common Multiple of Numerators i.e. LCM of 8,38,40 is 760.

GCF of Denominators means GCF of 72,204,912 as per the given fractions.

GCF of 72,204,912 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,38,40

LCM of Fractions 8/72,38/204,40/912 is 760/12

2 8, 38, 40
2 4, 19, 20
2 2, 19, 10
1, 19, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 19 x 5 = 760

Least Common Multiple of 8,38,40 with GCF Formula

Least Common Multiple of 8,38,40 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 8,38,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,38,40) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(8,38,40) x common factors =2 x 8 = 16

LCM(8,38,40) = ( 8 × 38 × 40 ) / 16

LCM(8,38,40) = 12160 / 16

LCM(8,38,40) = 760


Lets's calculate GCF of 72,204,912

2 72, 204, 912
2 36, 102, 456
3 18, 51, 228
6, 17, 76

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 760/12

Therefore the LCM of Fractions 8/72,38/204,40/912 is 760/12

Greatest Common Factor of 72,204,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,204,912 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 72,204,912 . The biggest common factor number is the GCF number.
So the greatest common factor 72,204,912 is 12.


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 8/72, 38/204, 40/912

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 8/72, 38/204, 40/912?

Answer: LCM of Numerators as per given numbers 8/72, 38/204, 40/912 is

LCM of Numerators i.e. for 8,38,40 is 760

GCF of denominators i.e. for 72,204,912 is 12.

Thus, LCM of Fractions is 760/12.Finally, LCM of Fractions for 8/72, 38/204, 40/912 is 760/12.