Least Common Multiple of 48/292, 12/265, 923/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/292, 12/265, 923/938 quickly i.e. 44304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/292, 12/265, 923/938 is 44304.

LCM(48/292, 12/265, 923/938) = 44304

LCM of 48/292, 12/265, 923/938

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 48/292,12/265,923/938

Given numbers are 48/292,12/265,923/938

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 48,12,923

Least Common Multiple of Numerators i.e. LCM of 48,12,923 is 44304.

GCF of Denominators means GCF of 292,265,938 as per the given fractions.

GCF of 292,265,938 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,12,923

LCM of Fractions 48/292,12/265,923/938 is 44304

2 48, 12, 923
2 24, 6, 923
3 12, 3, 923
4, 1, 923

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 1 x 923 = 44304

Least Common Multiple of 48,12,923 with GCF Formula

Least Common Multiple of 48,12,923 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 48,12,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,12,923) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(48,12,923) x common factors =1 x 12 = 12

LCM(48,12,923) = ( 48 × 12 × 923 ) / 12

LCM(48,12,923) = 531648 / 12

LCM(48,12,923) = 44304


Lets's calculate GCF of 292,265,938

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44304/1

Therefore the LCM of Fractions 48/292,12/265,923/938 is 44304

Greatest Common Factor of 292,265,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,265,938 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 292,265,938 . The biggest common factor number is the GCF number.
So the greatest common factor 292,265,938 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 48/292, 12/265, 923/938

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 48/292, 12/265, 923/938?

Answer: LCM of Numerators as per given numbers 48/292, 12/265, 923/938 is

LCM of Numerators i.e. for 48,12,923 is 44304

GCF of denominators i.e. for 292,265,938 is 1.

Thus, LCM of Fractions is 44304.Finally, LCM of Fractions for 48/292, 12/265, 923/938 is 44304.