Least Common Multiple of 987/826, 913/424, 936/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 987/826, 913/424, 936/115 quickly i.e. 281152872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/826, 913/424, 936/115 is 281152872.

LCM(987/826, 913/424, 936/115) = 281152872

LCM of 987/826, 913/424, 936/115

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 987/826,913/424,936/115

Given numbers are 987/826,913/424,936/115

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 987,913,936

Least Common Multiple of Numerators i.e. LCM of 987,913,936 is 281152872.

GCF of Denominators means GCF of 826,424,115 as per the given fractions.

GCF of 826,424,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,913,936

LCM of Fractions 987/826,913/424,936/115 is 281152872

3 987, 913, 936
329, 913, 312

∴ So the LCM of the given numbers is 3 x 329 x 913 x 312 = 281152872

Least Common Multiple of 987,913,936 with GCF Formula

Least Common Multiple of 987,913,936 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 987,913,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,913,936) = 1

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

GCF(987,913,936) x common factors =1 x 3 = 3

LCM(987,913,936) = ( 987 × 913 × 936 ) / 3

LCM(987,913,936) = 843458616 / 3

LCM(987,913,936) = 281152872


Lets's calculate GCF of 826,424,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281152872/1

Therefore the LCM of Fractions 987/826,913/424,936/115 is 281152872

Greatest Common Factor of 826,424,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,424,115 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 826,424,115 . The biggest common factor number is the GCF number.
So the greatest common factor 826,424,115 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 987/826, 913/424, 936/115

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 987/826, 913/424, 936/115?

Answer: LCM of Numerators as per given numbers 987/826, 913/424, 936/115 is

LCM of Numerators i.e. for 987,913,936 is 281152872

GCF of denominators i.e. for 826,424,115 is 1.

Thus, LCM of Fractions is 281152872.Finally, LCM of Fractions for 987/826, 913/424, 936/115 is 281152872.