Least Common Multiple of 31/53, 99/55, 120/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/53, 99/55, 120/941 quickly i.e. 122760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/53, 99/55, 120/941 is 122760.

LCM(31/53, 99/55, 120/941) = 122760

LCM of 31/53, 99/55, 120/941

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 31/53,99/55,120/941

Given numbers are 31/53,99/55,120/941

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 31,99,120

Least Common Multiple of Numerators i.e. LCM of 31,99,120 is 122760.

GCF of Denominators means GCF of 53,55,941 as per the given fractions.

GCF of 53,55,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,99,120

LCM of Fractions 31/53,99/55,120/941 is 122760

3 31, 99, 120
31, 33, 40

∴ So the LCM of the given numbers is 3 x 31 x 33 x 40 = 122760

Least Common Multiple of 31,99,120 with GCF Formula

Least Common Multiple of 31,99,120 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 31,99,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,99,120) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(31,99,120) x common factors =1 x 3 = 3

LCM(31,99,120) = ( 31 × 99 × 120 ) / 3

LCM(31,99,120) = 368280 / 3

LCM(31,99,120) = 122760


Lets's calculate GCF of 53,55,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122760/1

Therefore the LCM of Fractions 31/53,99/55,120/941 is 122760

Greatest Common Factor of 53,55,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,55,941 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 53,55,941 . The biggest common factor number is the GCF number.
So the greatest common factor 53,55,941 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 31/53, 99/55, 120/941

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 31/53, 99/55, 120/941?

Answer: LCM of Numerators as per given numbers 31/53, 99/55, 120/941 is

LCM of Numerators i.e. for 31,99,120 is 122760

GCF of denominators i.e. for 53,55,941 is 1.

Thus, LCM of Fractions is 122760.Finally, LCM of Fractions for 31/53, 99/55, 120/941 is 122760.