Least Common Multiple of 7917/691, 1332/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7917/691, 1332/506 quickly i.e. 3515148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7917/691, 1332/506 is 3515148.

LCM(7917/691, 1332/506) = 3515148

LCM of 7917/691, 1332/506

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 7917/691,1332/506

Given numbers are 7917/691,1332/506

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 7917,1332

Least Common Multiple of Numerators i.e. LCM of 7917,1332 is 3515148.

GCF of Denominators means GCF of 691,506 as per the given fractions.

GCF of 691,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7917,1332

LCM of Fractions 7917/691,1332/506 is 3515148

3 7917, 1332
2639, 444

∴ So the LCM of the given numbers is 3 x 2639 x 444 = 3515148

Least Common Multiple of 7917,1332 with GCF Formula

Least Common Multiple of 7917,1332 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 7917,1332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7917,1332) = 3

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

GCF(7917,1332) x common factors =3 x 1 = 3

LCM(7917,1332) = ( 7917 × 1332 ) / 3

LCM(7917,1332) = 10545444 / 3

LCM(7917,1332) = 3515148


Lets's calculate GCF of 691,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3515148/1

Therefore the LCM of Fractions 7917/691,1332/506 is 3515148

Greatest Common Factor of 691,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,506 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 691,506 . The biggest common factor number is the GCF number.
So the greatest common factor 691,506 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 7917/691, 1332/506

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 7917/691, 1332/506?

Answer: LCM of Numerators as per given numbers 7917/691, 1332/506 is

LCM of Numerators i.e. for 7917,1332 is 3515148

GCF of denominators i.e. for 691,506 is 1.

Thus, LCM of Fractions is 3515148.Finally, LCM of Fractions for 7917/691, 1332/506 is 3515148.