Least Common Multiple of 36/41, 37/79, 74/78, 64/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/41, 37/79, 74/78, 64/907 quickly i.e. 21312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/41, 37/79, 74/78, 64/907 is 21312.

LCM(36/41, 37/79, 74/78, 64/907) = 21312

LCM of 36/41, 37/79, 74/78, 64/907

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 36/41,37/79,74/78,64/907

Given numbers are 36/41,37/79,74/78,64/907

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 36,37,74,64

Least Common Multiple of Numerators i.e. LCM of 36,37,74,64 is 21312.

GCF of Denominators means GCF of 41,79,78,907 as per the given fractions.

GCF of 41,79,78,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,37,74,64

LCM of Fractions 36/41,37/79,74/78,64/907 is 21312

2 36, 37, 74, 64
2 18, 37, 37, 32
37 9, 37, 37, 16
9, 1, 1, 16

∴ So the LCM of the given numbers is 2 x 2 x 37 x 9 x 1 x 1 x 16 = 21312

Least Common Multiple of 36,37,74,64 with GCF Formula

Least Common Multiple of 36,37,74,64 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 36,37,74,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,37,74,64) = 1

common factors(in case of two or more numbers have common factors) = 296

GCF(36,37,74,64) x common factors =1 x 296 = 296

LCM(36,37,74,64) = ( 36 × 37 × 74 × 64 ) / 296

LCM(36,37,74,64) = 6308352 / 296

LCM(36,37,74,64) = 21312


Lets's calculate GCF of 41,79,78,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21312/1

Therefore the LCM of Fractions 36/41,37/79,74/78,64/907 is 21312

Greatest Common Factor of 41,79,78,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,79,78,907 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 41,79,78,907 . The biggest common factor number is the GCF number.
So the greatest common factor 41,79,78,907 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 36/41, 37/79, 74/78, 64/907

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 36/41, 37/79, 74/78, 64/907?

Answer: LCM of Numerators as per given numbers 36/41, 37/79, 74/78, 64/907 is

LCM of Numerators i.e. for 36,37,74,64 is 21312

GCF of denominators i.e. for 41,79,78,907 is 1.

Thus, LCM of Fractions is 21312.Finally, LCM of Fractions for 36/41, 37/79, 74/78, 64/907 is 21312.