Least Common Multiple of 87/76, 44/81, 49/87, 87/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/76, 44/81, 49/87, 87/213 quickly i.e. 187572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/76, 44/81, 49/87, 87/213 is 187572.

LCM(87/76, 44/81, 49/87, 87/213) = 187572

LCM of 87/76, 44/81, 49/87, 87/213

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 87/76,44/81,49/87,87/213

Given numbers are 87/76,44/81,49/87,87/213

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 87,44,49,87

Least Common Multiple of Numerators i.e. LCM of 87,44,49,87 is 187572.

GCF of Denominators means GCF of 76,81,87,213 as per the given fractions.

GCF of 76,81,87,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,44,49,87

LCM of Fractions 87/76,44/81,49/87,87/213 is 187572

3 87, 44, 49, 87
29 29, 44, 49, 29
1, 44, 49, 1

∴ So the LCM of the given numbers is 3 x 29 x 1 x 44 x 49 x 1 = 187572

Least Common Multiple of 87,44,49,87 with GCF Formula

Least Common Multiple of 87,44,49,87 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 87,44,49,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,44,49,87) = 1

common factors(in case of two or more numbers have common factors) = 87

GCF(87,44,49,87) x common factors =1 x 87 = 87

LCM(87,44,49,87) = ( 87 × 44 × 49 × 87 ) / 87

LCM(87,44,49,87) = 16318764 / 87

LCM(87,44,49,87) = 187572


Lets's calculate GCF of 76,81,87,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187572/1

Therefore the LCM of Fractions 87/76,44/81,49/87,87/213 is 187572

Greatest Common Factor of 76,81,87,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,81,87,213 By Matching Biggest Common Factor Method

Factors of 76

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

1,2,4,19,38,76

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 76,81,87,213 . The biggest common factor number is the GCF number.
So the greatest common factor 76,81,87,213 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 87/76, 44/81, 49/87, 87/213

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 87/76, 44/81, 49/87, 87/213?

Answer: LCM of Numerators as per given numbers 87/76, 44/81, 49/87, 87/213 is

LCM of Numerators i.e. for 87,44,49,87 is 187572

GCF of denominators i.e. for 76,81,87,213 is 1.

Thus, LCM of Fractions is 187572.Finally, LCM of Fractions for 87/76, 44/81, 49/87, 87/213 is 187572.