Least Common Multiple of 87/80, 29/63, 34/71, 54/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/80, 29/63, 34/71, 54/246 quickly i.e. 26622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/80, 29/63, 34/71, 54/246 is 26622.

LCM(87/80, 29/63, 34/71, 54/246) = 26622

LCM of 87/80, 29/63, 34/71, 54/246

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 87/80,29/63,34/71,54/246

Given numbers are 87/80,29/63,34/71,54/246

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 87,29,34,54

Least Common Multiple of Numerators i.e. LCM of 87,29,34,54 is 26622.

GCF of Denominators means GCF of 80,63,71,246 as per the given fractions.

GCF of 80,63,71,246 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,29,34,54

LCM of Fractions 87/80,29/63,34/71,54/246 is 26622

2 87, 29, 34, 54
3 87, 29, 17, 27
29 29, 29, 17, 9
1, 1, 17, 9

∴ So the LCM of the given numbers is 2 x 3 x 29 x 1 x 1 x 17 x 9 = 26622

Least Common Multiple of 87,29,34,54 with GCF Formula

Least Common Multiple of 87,29,34,54 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 87,29,34,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,29,34,54) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(87,29,34,54) x common factors =1 x 174 = 174

LCM(87,29,34,54) = ( 87 × 29 × 34 × 54 ) / 174

LCM(87,29,34,54) = 4632228 / 174

LCM(87,29,34,54) = 26622


Lets's calculate GCF of 80,63,71,246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26622/1

Therefore the LCM of Fractions 87/80,29/63,34/71,54/246 is 26622

Greatest Common Factor of 80,63,71,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,63,71,246 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 80,63,71,246 . The biggest common factor number is the GCF number.
So the greatest common factor 80,63,71,246 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 87/80, 29/63, 34/71, 54/246

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 87/80, 29/63, 34/71, 54/246?

Answer: LCM of Numerators as per given numbers 87/80, 29/63, 34/71, 54/246 is

LCM of Numerators i.e. for 87,29,34,54 is 26622

GCF of denominators i.e. for 80,63,71,246 is 1.

Thus, LCM of Fractions is 26622.Finally, LCM of Fractions for 87/80, 29/63, 34/71, 54/246 is 26622.