Least Common Multiple of 40/36, 95/53, 95/91, 60/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/36, 95/53, 95/91, 60/144 quickly i.e. 2280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/36, 95/53, 95/91, 60/144 is 2280.

LCM(40/36, 95/53, 95/91, 60/144) = 2280

LCM of 40/36, 95/53, 95/91, 60/144

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 40/36,95/53,95/91,60/144

Given numbers are 40/36,95/53,95/91,60/144

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 40,95,95,60

Least Common Multiple of Numerators i.e. LCM of 40,95,95,60 is 2280.

GCF of Denominators means GCF of 36,53,91,144 as per the given fractions.

GCF of 36,53,91,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,95,95,60

LCM of Fractions 40/36,95/53,95/91,60/144 is 2280

2 40, 95, 95, 60
2 20, 95, 95, 30
5 10, 95, 95, 15
19 2, 19, 19, 3
2, 1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 2 x 1 x 1 x 3 = 2280

Least Common Multiple of 40,95,95,60 with GCF Formula

Least Common Multiple of 40,95,95,60 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 40,95,95,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,95,95,60) = 5

common factors(in case of two or more numbers have common factors) = 1900

GCF(40,95,95,60) x common factors =5 x 1900 = 9500

LCM(40,95,95,60) = ( 40 × 95 × 95 × 60 ) / 9500

LCM(40,95,95,60) = 21660000 / 9500

LCM(40,95,95,60) = 2280


Lets's calculate GCF of 36,53,91,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2280/1

Therefore the LCM of Fractions 40/36,95/53,95/91,60/144 is 2280

Greatest Common Factor of 36,53,91,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,53,91,144 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 36,53,91,144 . The biggest common factor number is the GCF number.
So the greatest common factor 36,53,91,144 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 40/36, 95/53, 95/91, 60/144

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 40/36, 95/53, 95/91, 60/144?

Answer: LCM of Numerators as per given numbers 40/36, 95/53, 95/91, 60/144 is

LCM of Numerators i.e. for 40,95,95,60 is 2280

GCF of denominators i.e. for 36,53,91,144 is 1.

Thus, LCM of Fractions is 2280.Finally, LCM of Fractions for 40/36, 95/53, 95/91, 60/144 is 2280.