Least Common Multiple of 2691/748, 2712/3024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2691/748, 2712/3024 quickly i.e. 608166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2691/748, 2712/3024 is 608166.

LCM(2691/748, 2712/3024) = 608166

LCM of 2691/748, 2712/3024

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 2691/748,2712/3024

Given numbers are 2691/748,2712/3024

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 2691,2712

Least Common Multiple of Numerators i.e. LCM of 2691,2712 is 2432664.

GCF of Denominators means GCF of 748,3024 as per the given fractions.

GCF of 748,3024 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2691,2712

LCM of Fractions 2691/748,2712/3024 is 608166

3 2691, 2712
897, 904

∴ So the LCM of the given numbers is 3 x 897 x 904 = 2432664

Least Common Multiple of 2691,2712 with GCF Formula

Least Common Multiple of 2691,2712 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 2691,2712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2691,2712) = 3

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

GCF(2691,2712) x common factors =3 x 1 = 3

LCM(2691,2712) = ( 2691 × 2712 ) / 3

LCM(2691,2712) = 7297992 / 3

LCM(2691,2712) = 2432664


Lets's calculate GCF of 748,3024

2 748, 3024
2 374, 1512
187, 756

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2432664/4

Therefore the LCM of Fractions 2691/748,2712/3024 is 608166

Greatest Common Factor of 748,3024 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,3024 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 3024

List of positive integer factors of 3024 that divides 3024 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024

Greatest Common Factor

We found the factors 748,3024 . The biggest common factor number is the GCF number.
So the greatest common factor 748,3024 is 4.


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 2691/748, 2712/3024

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 2691/748, 2712/3024?

Answer: LCM of Numerators as per given numbers 2691/748, 2712/3024 is

LCM of Numerators i.e. for 2691,2712 is 2432664

GCF of denominators i.e. for 748,3024 is 4.

Thus, LCM of Fractions is 608166.Finally, LCM of Fractions for 2691/748, 2712/3024 is 608166.