Least Common Multiple of 31/957, 33/440, 121/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/957, 33/440, 121/204 quickly i.e. 11253 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/957, 33/440, 121/204 is 11253.

LCM(31/957, 33/440, 121/204) = 11253

LCM of 31/957, 33/440, 121/204

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 31/957,33/440,121/204

Given numbers are 31/957,33/440,121/204

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 31,33,121

Least Common Multiple of Numerators i.e. LCM of 31,33,121 is 11253.

GCF of Denominators means GCF of 957,440,204 as per the given fractions.

GCF of 957,440,204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,33,121

LCM of Fractions 31/957,33/440,121/204 is 11253

11 31, 33, 121
31, 3, 11

∴ So the LCM of the given numbers is 11 x 31 x 3 x 11 = 11253

Least Common Multiple of 31,33,121 with GCF Formula

Least Common Multiple of 31,33,121 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 31,33,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,33,121) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(31,33,121) x common factors =1 x 11 = 11

LCM(31,33,121) = ( 31 × 33 × 121 ) / 11

LCM(31,33,121) = 123783 / 11

LCM(31,33,121) = 11253


Lets's calculate GCF of 957,440,204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11253/1

Therefore the LCM of Fractions 31/957,33/440,121/204 is 11253

Greatest Common Factor of 957,440,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,440,204 By Matching Biggest Common Factor Method

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 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 957,440,204 . The biggest common factor number is the GCF number.
So the greatest common factor 957,440,204 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 31/957, 33/440, 121/204

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 31/957, 33/440, 121/204?

Answer: LCM of Numerators as per given numbers 31/957, 33/440, 121/204 is

LCM of Numerators i.e. for 31,33,121 is 11253

GCF of denominators i.e. for 957,440,204 is 1.

Thus, LCM of Fractions is 11253.Finally, LCM of Fractions for 31/957, 33/440, 121/204 is 11253.