Least Common Multiple of 31/96, 858/20, 542/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/96, 858/20, 542/260 quickly i.e. 7208058/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/96, 858/20, 542/260 is 7208058/4.

LCM(31/96, 858/20, 542/260) = 7208058/4

LCM of 31/96, 858/20, 542/260

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 31/96,858/20,542/260

Given numbers are 31/96,858/20,542/260

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 31,858,542

Least Common Multiple of Numerators i.e. LCM of 31,858,542 is 7208058.

GCF of Denominators means GCF of 96,20,260 as per the given fractions.

GCF of 96,20,260 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,858,542

LCM of Fractions 31/96,858/20,542/260 is 7208058/4

2 31, 858, 542
31, 429, 271

∴ So the LCM of the given numbers is 2 x 31 x 429 x 271 = 7208058

Least Common Multiple of 31,858,542 with GCF Formula

Least Common Multiple of 31,858,542 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 31,858,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,858,542) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,858,542) x common factors =1 x 2 = 2

LCM(31,858,542) = ( 31 × 858 × 542 ) / 2

LCM(31,858,542) = 14416116 / 2

LCM(31,858,542) = 7208058


Lets's calculate GCF of 96,20,260

2 96, 20, 260
2 48, 10, 130
24, 5, 65

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7208058/4

Therefore the LCM of Fractions 31/96,858/20,542/260 is 7208058/4

Greatest Common Factor of 96,20,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,20,260 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 96,20,260 . The biggest common factor number is the GCF number.
So the greatest common factor 96,20,260 is 4.


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 31/96, 858/20, 542/260

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 31/96, 858/20, 542/260?

Answer: LCM of Numerators as per given numbers 31/96, 858/20, 542/260 is

LCM of Numerators i.e. for 31,858,542 is 7208058

GCF of denominators i.e. for 96,20,260 is 4.

Thus, LCM of Fractions is 7208058/4.Finally, LCM of Fractions for 31/96, 858/20, 542/260 is 7208058/4.