Least Common Multiple of 87/58, 84/76, 40/28, 78/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/58, 84/76, 40/28, 78/852 quickly i.e. 158340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/58, 84/76, 40/28, 78/852 is 158340.

LCM(87/58, 84/76, 40/28, 78/852) = 158340

LCM of 87/58, 84/76, 40/28, 78/852

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 87/58,84/76,40/28,78/852

Given numbers are 87/58,84/76,40/28,78/852

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 87,84,40,78

Least Common Multiple of Numerators i.e. LCM of 87,84,40,78 is 316680.

GCF of Denominators means GCF of 58,76,28,852 as per the given fractions.

GCF of 58,76,28,852 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,84,40,78

LCM of Fractions 87/58,84/76,40/28,78/852 is 158340

2 87, 84, 40, 78
2 87, 42, 20, 39
3 87, 21, 10, 39
29, 7, 10, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 7 x 10 x 13 = 316680

Least Common Multiple of 87,84,40,78 with GCF Formula

Least Common Multiple of 87,84,40,78 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 87,84,40,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,84,40,78) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(87,84,40,78) x common factors =1 x 72 = 72

LCM(87,84,40,78) = ( 87 × 84 × 40 × 78 ) / 72

LCM(87,84,40,78) = 22800960 / 72

LCM(87,84,40,78) = 316680


Lets's calculate GCF of 58,76,28,852

2 58, 76, 28, 852
29, 38, 14, 426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316680/2

Therefore the LCM of Fractions 87/58,84/76,40/28,78/852 is 158340

Greatest Common Factor of 58,76,28,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,76,28,852 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 58,76,28,852 . The biggest common factor number is the GCF number.
So the greatest common factor 58,76,28,852 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 87/58, 84/76, 40/28, 78/852

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 87/58, 84/76, 40/28, 78/852?

Answer: LCM of Numerators as per given numbers 87/58, 84/76, 40/28, 78/852 is

LCM of Numerators i.e. for 87,84,40,78 is 316680

GCF of denominators i.e. for 58,76,28,852 is 2.

Thus, LCM of Fractions is 158340.Finally, LCM of Fractions for 87/58, 84/76, 40/28, 78/852 is 158340.