Least Common Multiple of 31/24, 55/77, 31/75, 93/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/24, 55/77, 31/75, 93/147 quickly i.e. 5115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/24, 55/77, 31/75, 93/147 is 5115.

LCM(31/24, 55/77, 31/75, 93/147) = 5115

LCM of 31/24, 55/77, 31/75, 93/147

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 31/24,55/77,31/75,93/147

Given numbers are 31/24,55/77,31/75,93/147

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 31,55,31,93

Least Common Multiple of Numerators i.e. LCM of 31,55,31,93 is 5115.

GCF of Denominators means GCF of 24,77,75,147 as per the given fractions.

GCF of 24,77,75,147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,55,31,93

LCM of Fractions 31/24,55/77,31/75,93/147 is 5115

31 31, 55, 31, 93
1, 55, 1, 3

∴ So the LCM of the given numbers is 31 x 1 x 55 x 1 x 3 = 5115

Least Common Multiple of 31,55,31,93 with GCF Formula

Least Common Multiple of 31,55,31,93 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 31,55,31,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,55,31,93) = 1

common factors(in case of two or more numbers have common factors) = 961

GCF(31,55,31,93) x common factors =1 x 961 = 961

LCM(31,55,31,93) = ( 31 × 55 × 31 × 93 ) / 961

LCM(31,55,31,93) = 4915515 / 961

LCM(31,55,31,93) = 5115


Lets's calculate GCF of 24,77,75,147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5115/1

Therefore the LCM of Fractions 31/24,55/77,31/75,93/147 is 5115

Greatest Common Factor of 24,77,75,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,77,75,147 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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 24,77,75,147 . The biggest common factor number is the GCF number.
So the greatest common factor 24,77,75,147 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 31/24, 55/77, 31/75, 93/147

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 31/24, 55/77, 31/75, 93/147?

Answer: LCM of Numerators as per given numbers 31/24, 55/77, 31/75, 93/147 is

LCM of Numerators i.e. for 31,55,31,93 is 5115

GCF of denominators i.e. for 24,77,75,147 is 1.

Thus, LCM of Fractions is 5115.Finally, LCM of Fractions for 31/24, 55/77, 31/75, 93/147 is 5115.