Least Common Multiple of 41/40, 54/94, 54/72, 36/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/40, 54/94, 54/72, 36/626 quickly i.e. 2214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/40, 54/94, 54/72, 36/626 is 2214.

LCM(41/40, 54/94, 54/72, 36/626) = 2214

LCM of 41/40, 54/94, 54/72, 36/626

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 41/40,54/94,54/72,36/626

Given numbers are 41/40,54/94,54/72,36/626

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 41,54,54,36

Least Common Multiple of Numerators i.e. LCM of 41,54,54,36 is 4428.

GCF of Denominators means GCF of 40,94,72,626 as per the given fractions.

GCF of 40,94,72,626 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,54,54,36

LCM of Fractions 41/40,54/94,54/72,36/626 is 2214

2 41, 54, 54, 36
3 41, 27, 27, 18
3 41, 9, 9, 6
3 41, 3, 3, 2
41, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 41 x 1 x 1 x 2 = 4428

Least Common Multiple of 41,54,54,36 with GCF Formula

Least Common Multiple of 41,54,54,36 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 41,54,54,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,54,54,36) = 1

common factors(in case of two or more numbers have common factors) = 972

GCF(41,54,54,36) x common factors =1 x 972 = 972

LCM(41,54,54,36) = ( 41 × 54 × 54 × 36 ) / 972

LCM(41,54,54,36) = 4304016 / 972

LCM(41,54,54,36) = 4428


Lets's calculate GCF of 40,94,72,626

2 40, 94, 72, 626
20, 47, 36, 313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4428/2

Therefore the LCM of Fractions 41/40,54/94,54/72,36/626 is 2214

Greatest Common Factor of 40,94,72,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,94,72,626 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 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 40,94,72,626 . The biggest common factor number is the GCF number.
So the greatest common factor 40,94,72,626 is 2.


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 41/40, 54/94, 54/72, 36/626

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 41/40, 54/94, 54/72, 36/626?

Answer: LCM of Numerators as per given numbers 41/40, 54/94, 54/72, 36/626 is

LCM of Numerators i.e. for 41,54,54,36 is 4428

GCF of denominators i.e. for 40,94,72,626 is 2.

Thus, LCM of Fractions is 2214.Finally, LCM of Fractions for 41/40, 54/94, 54/72, 36/626 is 2214.