Least Common Multiple of 87/20, 82/70, 38/40, 40/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/20, 82/70, 38/40, 40/364 quickly i.e. 1355460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/20, 82/70, 38/40, 40/364 is 1355460.

LCM(87/20, 82/70, 38/40, 40/364) = 1355460

LCM of 87/20, 82/70, 38/40, 40/364

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 87/20,82/70,38/40,40/364

Given numbers are 87/20,82/70,38/40,40/364

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 87,82,38,40

Least Common Multiple of Numerators i.e. LCM of 87,82,38,40 is 2710920.

GCF of Denominators means GCF of 20,70,40,364 as per the given fractions.

GCF of 20,70,40,364 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,82,38,40

LCM of Fractions 87/20,82/70,38/40,40/364 is 1355460

2 87, 82, 38, 40
87, 41, 19, 20

∴ So the LCM of the given numbers is 2 x 87 x 41 x 19 x 20 = 2710920

Least Common Multiple of 87,82,38,40 with GCF Formula

Least Common Multiple of 87,82,38,40 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 87,82,38,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,82,38,40) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(87,82,38,40) x common factors =1 x 4 = 4

LCM(87,82,38,40) = ( 87 × 82 × 38 × 40 ) / 4

LCM(87,82,38,40) = 10843680 / 4

LCM(87,82,38,40) = 2710920


Lets's calculate GCF of 20,70,40,364

2 20, 70, 40, 364
10, 35, 20, 182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2710920/2

Therefore the LCM of Fractions 87/20,82/70,38/40,40/364 is 1355460

Greatest Common Factor of 20,70,40,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,70,40,364 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

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 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 20,70,40,364 . The biggest common factor number is the GCF number.
So the greatest common factor 20,70,40,364 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 87/20, 82/70, 38/40, 40/364

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 87/20, 82/70, 38/40, 40/364?

Answer: LCM of Numerators as per given numbers 87/20, 82/70, 38/40, 40/364 is

LCM of Numerators i.e. for 87,82,38,40 is 2710920

GCF of denominators i.e. for 20,70,40,364 is 2.

Thus, LCM of Fractions is 1355460.Finally, LCM of Fractions for 87/20, 82/70, 38/40, 40/364 is 1355460.