Least Common Multiple of 89/87, 30/71, 159/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/87, 30/71, 159/276 quickly i.e. 141510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/87, 30/71, 159/276 is 141510.

LCM(89/87, 30/71, 159/276) = 141510

LCM of 89/87, 30/71, 159/276

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 89/87,30/71,159/276

Given numbers are 89/87,30/71,159/276

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 89,30,159

Least Common Multiple of Numerators i.e. LCM of 89,30,159 is 141510.

GCF of Denominators means GCF of 87,71,276 as per the given fractions.

GCF of 87,71,276 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,30,159

LCM of Fractions 89/87,30/71,159/276 is 141510

3 89, 30, 159
89, 10, 53

∴ So the LCM of the given numbers is 3 x 89 x 10 x 53 = 141510

Least Common Multiple of 89,30,159 with GCF Formula

Least Common Multiple of 89,30,159 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 89,30,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,30,159) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(89,30,159) x common factors =1 x 3 = 3

LCM(89,30,159) = ( 89 × 30 × 159 ) / 3

LCM(89,30,159) = 424530 / 3

LCM(89,30,159) = 141510


Lets's calculate GCF of 87,71,276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141510/1

Therefore the LCM of Fractions 89/87,30/71,159/276 is 141510

Greatest Common Factor of 87,71,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,71,276 By Matching Biggest Common Factor Method

Factors of 87

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

1,3,29,87

Factors of 71

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

1,71

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 87,71,276 . The biggest common factor number is the GCF number.
So the greatest common factor 87,71,276 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 89/87, 30/71, 159/276

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 89/87, 30/71, 159/276?

Answer: LCM of Numerators as per given numbers 89/87, 30/71, 159/276 is

LCM of Numerators i.e. for 89,30,159 is 141510

GCF of denominators i.e. for 87,71,276 is 1.

Thus, LCM of Fractions is 141510.Finally, LCM of Fractions for 89/87, 30/71, 159/276 is 141510.