Least Common Multiple of 7653/296, 9114/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7653/296, 9114/481 quickly i.e. 23249814/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7653/296, 9114/481 is 23249814/37.

LCM(7653/296, 9114/481) = 23249814/37

LCM of 7653/296, 9114/481

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 7653/296,9114/481

Given numbers are 7653/296,9114/481

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 7653,9114

Least Common Multiple of Numerators i.e. LCM of 7653,9114 is 23249814.

GCF of Denominators means GCF of 296,481 as per the given fractions.

GCF of 296,481 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7653,9114

LCM of Fractions 7653/296,9114/481 is 23249814/37

3 7653, 9114
2551, 3038

∴ So the LCM of the given numbers is 3 x 2551 x 3038 = 23249814

Least Common Multiple of 7653,9114 with GCF Formula

Least Common Multiple of 7653,9114 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 7653,9114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7653,9114) = 3

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

GCF(7653,9114) x common factors =3 x 1 = 3

LCM(7653,9114) = ( 7653 × 9114 ) / 3

LCM(7653,9114) = 69749442 / 3

LCM(7653,9114) = 23249814


Lets's calculate GCF of 296,481

37 296, 481
8, 13

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23249814/37

Therefore the LCM of Fractions 7653/296,9114/481 is 23249814/37

Greatest Common Factor of 296,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,481 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 296,481 . The biggest common factor number is the GCF number.
So the greatest common factor 296,481 is 37.


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 7653/296, 9114/481

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 7653/296, 9114/481?

Answer: LCM of Numerators as per given numbers 7653/296, 9114/481 is

LCM of Numerators i.e. for 7653,9114 is 23249814

GCF of denominators i.e. for 296,481 is 37.

Thus, LCM of Fractions is 23249814/37.Finally, LCM of Fractions for 7653/296, 9114/481 is 23249814/37.