Least Common Multiple of 76/41, 57/61, 48/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/41, 57/61, 48/955 quickly i.e. 912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/41, 57/61, 48/955 is 912.

LCM(76/41, 57/61, 48/955) = 912

LCM of 76/41, 57/61, 48/955

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 76/41,57/61,48/955

Given numbers are 76/41,57/61,48/955

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 76,57,48

Least Common Multiple of Numerators i.e. LCM of 76,57,48 is 912.

GCF of Denominators means GCF of 41,61,955 as per the given fractions.

GCF of 41,61,955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,57,48

LCM of Fractions 76/41,57/61,48/955 is 912

2 76, 57, 48
2 38, 57, 24
3 19, 57, 12
19 19, 19, 4
1, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 1 x 4 = 912

Least Common Multiple of 76,57,48 with GCF Formula

Least Common Multiple of 76,57,48 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 76,57,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,57,48) = 1

common factors(in case of two or more numbers have common factors) = 228

GCF(76,57,48) x common factors =1 x 228 = 228

LCM(76,57,48) = ( 76 × 57 × 48 ) / 228

LCM(76,57,48) = 207936 / 228

LCM(76,57,48) = 912


Lets's calculate GCF of 41,61,955

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 912/1

Therefore the LCM of Fractions 76/41,57/61,48/955 is 912

Greatest Common Factor of 41,61,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,61,955 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 41,61,955 . The biggest common factor number is the GCF number.
So the greatest common factor 41,61,955 is 1.


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 76/41, 57/61, 48/955

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 76/41, 57/61, 48/955?

Answer: LCM of Numerators as per given numbers 76/41, 57/61, 48/955 is

LCM of Numerators i.e. for 76,57,48 is 912

GCF of denominators i.e. for 41,61,955 is 1.

Thus, LCM of Fractions is 912.Finally, LCM of Fractions for 76/41, 57/61, 48/955 is 912.