Least Common Multiple of 2921/468, 2484/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2921/468, 2484/754 quickly i.e. 315468/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2921/468, 2484/754 is 315468/26.

LCM(2921/468, 2484/754) = 315468/26

LCM of 2921/468, 2484/754

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 2921/468,2484/754

Given numbers are 2921/468,2484/754

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 2921,2484

Least Common Multiple of Numerators i.e. LCM of 2921,2484 is 315468.

GCF of Denominators means GCF of 468,754 as per the given fractions.

GCF of 468,754 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2921,2484

LCM of Fractions 2921/468,2484/754 is 315468/26

23 2921, 2484
127, 108

∴ So the LCM of the given numbers is 23 x 127 x 108 = 315468

Least Common Multiple of 2921,2484 with GCF Formula

Least Common Multiple of 2921,2484 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 2921,2484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2921,2484) = 23

common factors(in case of two or more numbers have common factors) = 1

GCF(2921,2484) x common factors =23 x 1 = 23

LCM(2921,2484) = ( 2921 × 2484 ) / 23

LCM(2921,2484) = 7255764 / 23

LCM(2921,2484) = 315468


Lets's calculate GCF of 468,754

2 468, 754
13 234, 377
18, 29

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315468/26

Therefore the LCM of Fractions 2921/468,2484/754 is 315468/26

Greatest Common Factor of 468,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,754 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 468,754 . The biggest common factor number is the GCF number.
So the greatest common factor 468,754 is 26.


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 2921/468, 2484/754

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 2921/468, 2484/754?

Answer: LCM of Numerators as per given numbers 2921/468, 2484/754 is

LCM of Numerators i.e. for 2921,2484 is 315468

GCF of denominators i.e. for 468,754 is 26.

Thus, LCM of Fractions is 315468/26.Finally, LCM of Fractions for 2921/468, 2484/754 is 315468/26.