Least Common Multiple of 687/843, 288/522, 971/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/843, 288/522, 971/908 quickly i.e. 64039392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/843, 288/522, 971/908 is 64039392.

LCM(687/843, 288/522, 971/908) = 64039392

LCM of 687/843, 288/522, 971/908

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 687/843,288/522,971/908

Given numbers are 687/843,288/522,971/908

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 687,288,971

Least Common Multiple of Numerators i.e. LCM of 687,288,971 is 64039392.

GCF of Denominators means GCF of 843,522,908 as per the given fractions.

GCF of 843,522,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,288,971

LCM of Fractions 687/843,288/522,971/908 is 64039392

3 687, 288, 971
229, 96, 971

∴ So the LCM of the given numbers is 3 x 229 x 96 x 971 = 64039392

Least Common Multiple of 687,288,971 with GCF Formula

Least Common Multiple of 687,288,971 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 687,288,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,288,971) = 1

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

GCF(687,288,971) x common factors =1 x 3 = 3

LCM(687,288,971) = ( 687 × 288 × 971 ) / 3

LCM(687,288,971) = 192118176 / 3

LCM(687,288,971) = 64039392


Lets's calculate GCF of 843,522,908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64039392/1

Therefore the LCM of Fractions 687/843,288/522,971/908 is 64039392

Greatest Common Factor of 843,522,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,522,908 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 843,522,908 . The biggest common factor number is the GCF number.
So the greatest common factor 843,522,908 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 687/843, 288/522, 971/908

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 687/843, 288/522, 971/908?

Answer: LCM of Numerators as per given numbers 687/843, 288/522, 971/908 is

LCM of Numerators i.e. for 687,288,971 is 64039392

GCF of denominators i.e. for 843,522,908 is 1.

Thus, LCM of Fractions is 64039392.Finally, LCM of Fractions for 687/843, 288/522, 971/908 is 64039392.