Least Common Multiple of 7478/755, 3564/6493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7478/755, 3564/6493 quickly i.e. 13325796/151 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7478/755, 3564/6493 is 13325796/151.

LCM(7478/755, 3564/6493) = 13325796/151

LCM of 7478/755, 3564/6493

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 7478/755,3564/6493

Given numbers are 7478/755,3564/6493

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 7478,3564

Least Common Multiple of Numerators i.e. LCM of 7478,3564 is 13325796.

GCF of Denominators means GCF of 755,6493 as per the given fractions.

GCF of 755,6493 is 151 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7478,3564

LCM of Fractions 7478/755,3564/6493 is 13325796/151

2 7478, 3564
3739, 1782

∴ So the LCM of the given numbers is 2 x 3739 x 1782 = 13325796

Least Common Multiple of 7478,3564 with GCF Formula

Least Common Multiple of 7478,3564 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 7478,3564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7478,3564) = 2

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

GCF(7478,3564) x common factors =2 x 1 = 2

LCM(7478,3564) = ( 7478 × 3564 ) / 2

LCM(7478,3564) = 26651592 / 2

LCM(7478,3564) = 13325796


Lets's calculate GCF of 755,6493

151 755, 6493
5, 43

∴ So the GCF of the given numbers is 151 = 151

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13325796/151

Therefore the LCM of Fractions 7478/755,3564/6493 is 13325796/151

Greatest Common Factor of 755,6493 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,6493 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 6493

List of positive integer factors of 6493 that divides 6493 without a remainder.

1,43,151,6493

Greatest Common Factor

We found the factors 755,6493 . The biggest common factor number is the GCF number.
So the greatest common factor 755,6493 is 151.


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 7478/755, 3564/6493

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 7478/755, 3564/6493?

Answer: LCM of Numerators as per given numbers 7478/755, 3564/6493 is

LCM of Numerators i.e. for 7478,3564 is 13325796

GCF of denominators i.e. for 755,6493 is 151.

Thus, LCM of Fractions is 13325796/151.Finally, LCM of Fractions for 7478/755, 3564/6493 is 13325796/151.