Least Common Multiple of 87/416, 98/537, 721/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/416, 98/537, 721/915 quickly i.e. 878178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/416, 98/537, 721/915 is 878178.

LCM(87/416, 98/537, 721/915) = 878178

LCM of 87/416, 98/537, 721/915

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 87/416,98/537,721/915

Given numbers are 87/416,98/537,721/915

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 87,98,721

Least Common Multiple of Numerators i.e. LCM of 87,98,721 is 878178.

GCF of Denominators means GCF of 416,537,915 as per the given fractions.

GCF of 416,537,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,98,721

LCM of Fractions 87/416,98/537,721/915 is 878178

7 87, 98, 721
87, 14, 103

∴ So the LCM of the given numbers is 7 x 87 x 14 x 103 = 878178

Least Common Multiple of 87,98,721 with GCF Formula

Least Common Multiple of 87,98,721 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 87,98,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,98,721) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(87,98,721) x common factors =1 x 7 = 7

LCM(87,98,721) = ( 87 × 98 × 721 ) / 7

LCM(87,98,721) = 6147246 / 7

LCM(87,98,721) = 878178


Lets's calculate GCF of 416,537,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 878178/1

Therefore the LCM of Fractions 87/416,98/537,721/915 is 878178

Greatest Common Factor of 416,537,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,537,915 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 416,537,915 . The biggest common factor number is the GCF number.
So the greatest common factor 416,537,915 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 87/416, 98/537, 721/915

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 87/416, 98/537, 721/915?

Answer: LCM of Numerators as per given numbers 87/416, 98/537, 721/915 is

LCM of Numerators i.e. for 87,98,721 is 878178

GCF of denominators i.e. for 416,537,915 is 1.

Thus, LCM of Fractions is 878178.Finally, LCM of Fractions for 87/416, 98/537, 721/915 is 878178.