Least Common Multiple of 13/24, 26/94, 87/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/24, 26/94, 87/318 quickly i.e. 1131 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/24, 26/94, 87/318 is 1131.

LCM(13/24, 26/94, 87/318) = 1131

LCM of 13/24, 26/94, 87/318

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 13/24,26/94,87/318

Given numbers are 13/24,26/94,87/318

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 13,26,87

Least Common Multiple of Numerators i.e. LCM of 13,26,87 is 2262.

GCF of Denominators means GCF of 24,94,318 as per the given fractions.

GCF of 24,94,318 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,26,87

LCM of Fractions 13/24,26/94,87/318 is 1131

13 13, 26, 87
1, 2, 87

∴ So the LCM of the given numbers is 13 x 1 x 2 x 87 = 2262

Least Common Multiple of 13,26,87 with GCF Formula

Least Common Multiple of 13,26,87 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 13,26,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,26,87) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(13,26,87) x common factors =1 x 13 = 13

LCM(13,26,87) = ( 13 × 26 × 87 ) / 13

LCM(13,26,87) = 29406 / 13

LCM(13,26,87) = 2262


Lets's calculate GCF of 24,94,318

2 24, 94, 318
12, 47, 159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2262/2

Therefore the LCM of Fractions 13/24,26/94,87/318 is 1131

Greatest Common Factor of 24,94,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,94,318 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 24,94,318 . The biggest common factor number is the GCF number.
So the greatest common factor 24,94,318 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/24, 26/94, 87/318

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 13/24, 26/94, 87/318?

Answer: LCM of Numerators as per given numbers 13/24, 26/94, 87/318 is

LCM of Numerators i.e. for 13,26,87 is 2262

GCF of denominators i.e. for 24,94,318 is 2.

Thus, LCM of Fractions is 1131.Finally, LCM of Fractions for 13/24, 26/94, 87/318 is 1131.