Least Common Multiple of 24/348, 88/957, 117/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/348, 88/957, 117/140 quickly i.e. 10296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/348, 88/957, 117/140 is 10296.

LCM(24/348, 88/957, 117/140) = 10296

LCM of 24/348, 88/957, 117/140

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 24/348,88/957,117/140

Given numbers are 24/348,88/957,117/140

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 24,88,117

Least Common Multiple of Numerators i.e. LCM of 24,88,117 is 10296.

GCF of Denominators means GCF of 348,957,140 as per the given fractions.

GCF of 348,957,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,88,117

LCM of Fractions 24/348,88/957,117/140 is 10296

2 24, 88, 117
2 12, 44, 117
2 6, 22, 117
3 3, 11, 117
1, 11, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 11 x 39 = 10296

Least Common Multiple of 24,88,117 with GCF Formula

Least Common Multiple of 24,88,117 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 24,88,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,88,117) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(24,88,117) x common factors =1 x 24 = 24

LCM(24,88,117) = ( 24 × 88 × 117 ) / 24

LCM(24,88,117) = 247104 / 24

LCM(24,88,117) = 10296


Lets's calculate GCF of 348,957,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10296/1

Therefore the LCM of Fractions 24/348,88/957,117/140 is 10296

Greatest Common Factor of 348,957,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,957,140 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 348,957,140 . The biggest common factor number is the GCF number.
So the greatest common factor 348,957,140 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/348, 88/957, 117/140

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 24/348, 88/957, 117/140?

Answer: LCM of Numerators as per given numbers 24/348, 88/957, 117/140 is

LCM of Numerators i.e. for 24,88,117 is 10296

GCF of denominators i.e. for 348,957,140 is 1.

Thus, LCM of Fractions is 10296.Finally, LCM of Fractions for 24/348, 88/957, 117/140 is 10296.