Least Common Multiple of 40/36, 73/312, 142/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/36, 73/312, 142/531 quickly i.e. 207320/3 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, 73/312, 142/531 is 207320/3.

LCM(40/36, 73/312, 142/531) = 207320/3

LCM of 40/36, 73/312, 142/531

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 40/36,73/312,142/531

Given numbers are 40/36,73/312,142/531

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 40,73,142

Least Common Multiple of Numerators i.e. LCM of 40,73,142 is 207320.

GCF of Denominators means GCF of 36,312,531 as per the given fractions.

GCF of 36,312,531 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,73,142

LCM of Fractions 40/36,73/312,142/531 is 207320/3

2 40, 73, 142
20, 73, 71

∴ So the LCM of the given numbers is 2 x 20 x 73 x 71 = 207320

Least Common Multiple of 40,73,142 with GCF Formula

Least Common Multiple of 40,73,142 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 40,73,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,73,142) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(40,73,142) x common factors =1 x 2 = 2

LCM(40,73,142) = ( 40 × 73 × 142 ) / 2

LCM(40,73,142) = 414640 / 2

LCM(40,73,142) = 207320


Lets's calculate GCF of 36,312,531

3 36, 312, 531
12, 104, 177

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207320/3

Therefore the LCM of Fractions 40/36,73/312,142/531 is 207320/3

Greatest Common Factor of 36,312,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,312,531 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 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 36,312,531 . The biggest common factor number is the GCF number.
So the greatest common factor 36,312,531 is 3.


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, 73/312, 142/531

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, 73/312, 142/531?

Answer: LCM of Numerators as per given numbers 40/36, 73/312, 142/531 is

LCM of Numerators i.e. for 40,73,142 is 207320

GCF of denominators i.e. for 36,312,531 is 3.

Thus, LCM of Fractions is 207320/3.Finally, LCM of Fractions for 40/36, 73/312, 142/531 is 207320/3.