Least Common Multiple of 687/741, 8091/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/741, 8091/168 quickly i.e. 617613 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/741, 8091/168 is 617613.

LCM(687/741, 8091/168) = 617613

LCM of 687/741, 8091/168

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 687/741,8091/168

Given numbers are 687/741,8091/168

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 687,8091

Least Common Multiple of Numerators i.e. LCM of 687,8091 is 1852839.

GCF of Denominators means GCF of 741,168 as per the given fractions.

GCF of 741,168 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,8091

LCM of Fractions 687/741,8091/168 is 617613

3 687, 8091
229, 2697

∴ So the LCM of the given numbers is 3 x 229 x 2697 = 1852839

Least Common Multiple of 687,8091 with GCF Formula

Least Common Multiple of 687,8091 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 687,8091 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,8091) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(687,8091) x common factors =3 x 1 = 3

LCM(687,8091) = ( 687 × 8091 ) / 3

LCM(687,8091) = 5558517 / 3

LCM(687,8091) = 1852839


Lets's calculate GCF of 741,168

3 741, 168
247, 56

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1852839/3

Therefore the LCM of Fractions 687/741,8091/168 is 617613

Greatest Common Factor of 741,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,168 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 741,168 . The biggest common factor number is the GCF number.
So the greatest common factor 741,168 is 3.


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 687/741, 8091/168

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 687/741, 8091/168?

Answer: LCM of Numerators as per given numbers 687/741, 8091/168 is

LCM of Numerators i.e. for 687,8091 is 1852839

GCF of denominators i.e. for 741,168 is 3.

Thus, LCM of Fractions is 617613.Finally, LCM of Fractions for 687/741, 8091/168 is 617613.