Least Common Multiple of 291/62, 696/6717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/62, 696/6717 quickly i.e. 67512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/62, 696/6717 is 67512.

LCM(291/62, 696/6717) = 67512

LCM of 291/62, 696/6717

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 291/62,696/6717

Given numbers are 291/62,696/6717

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 291,696

Least Common Multiple of Numerators i.e. LCM of 291,696 is 67512.

GCF of Denominators means GCF of 62,6717 as per the given fractions.

GCF of 62,6717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,696

LCM of Fractions 291/62,696/6717 is 67512

3 291, 696
97, 232

∴ So the LCM of the given numbers is 3 x 97 x 232 = 67512

Least Common Multiple of 291,696 with GCF Formula

Least Common Multiple of 291,696 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 291,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,696) = 3

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

GCF(291,696) x common factors =3 x 1 = 3

LCM(291,696) = ( 291 × 696 ) / 3

LCM(291,696) = 202536 / 3

LCM(291,696) = 67512


Lets's calculate GCF of 62,6717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67512/1

Therefore the LCM of Fractions 291/62,696/6717 is 67512

Greatest Common Factor of 62,6717 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,6717 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 6717

List of positive integer factors of 6717 that divides 6717 without a remainder.

1,3,2239,6717

Greatest Common Factor

We found the factors 62,6717 . The biggest common factor number is the GCF number.
So the greatest common factor 62,6717 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 291/62, 696/6717

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 291/62, 696/6717?

Answer: LCM of Numerators as per given numbers 291/62, 696/6717 is

LCM of Numerators i.e. for 291,696 is 67512

GCF of denominators i.e. for 62,6717 is 1.

Thus, LCM of Fractions is 67512.Finally, LCM of Fractions for 291/62, 696/6717 is 67512.