Least Common Multiple of 2941/40, 8472/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2941/40, 8472/648 quickly i.e. 3114519 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2941/40, 8472/648 is 3114519.

LCM(2941/40, 8472/648) = 3114519

LCM of 2941/40, 8472/648

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 2941/40,8472/648

Given numbers are 2941/40,8472/648

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 2941,8472

Least Common Multiple of Numerators i.e. LCM of 2941,8472 is 24916152.

GCF of Denominators means GCF of 40,648 as per the given fractions.

GCF of 40,648 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2941,8472

LCM of Fractions 2941/40,8472/648 is 3114519

Given numbers has no common factors except 1. So, there LCM is their product i.e 24916152

Least Common Multiple of 2941,8472 with GCF Formula

Least Common Multiple of 2941,8472 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 2941,8472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2941,8472) = 1

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

GCF(2941,8472) x common factors =1 x 1 = 1

LCM(2941,8472) = ( 2941 × 8472 ) / 1

LCM(2941,8472) = 24916152 / 1

LCM(2941,8472) = 24916152


Lets's calculate GCF of 40,648

2 40, 648
2 20, 324
2 10, 162
5, 81

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24916152/8

Therefore the LCM of Fractions 2941/40,8472/648 is 3114519

Greatest Common Factor of 40,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,648 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 40,648 . The biggest common factor number is the GCF number.
So the greatest common factor 40,648 is 8.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2941/40, 8472/648

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 2941/40, 8472/648?

Answer: LCM of Numerators as per given numbers 2941/40, 8472/648 is

LCM of Numerators i.e. for 2941,8472 is 24916152

GCF of denominators i.e. for 40,648 is 8.

Thus, LCM of Fractions is 3114519.Finally, LCM of Fractions for 2941/40, 8472/648 is 3114519.