Least Common Multiple of 7108/621, 9102/1548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7108/621, 9102/1548 quickly i.e. 32348508/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7108/621, 9102/1548 is 32348508/9.

LCM(7108/621, 9102/1548) = 32348508/9

LCM of 7108/621, 9102/1548

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 7108/621,9102/1548

Given numbers are 7108/621,9102/1548

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 7108,9102

Least Common Multiple of Numerators i.e. LCM of 7108,9102 is 32348508.

GCF of Denominators means GCF of 621,1548 as per the given fractions.

GCF of 621,1548 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7108,9102

LCM of Fractions 7108/621,9102/1548 is 32348508/9

2 7108, 9102
3554, 4551

∴ So the LCM of the given numbers is 2 x 3554 x 4551 = 32348508

Least Common Multiple of 7108,9102 with GCF Formula

Least Common Multiple of 7108,9102 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 7108,9102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7108,9102) = 2

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

GCF(7108,9102) x common factors =2 x 1 = 2

LCM(7108,9102) = ( 7108 × 9102 ) / 2

LCM(7108,9102) = 64697016 / 2

LCM(7108,9102) = 32348508


Lets's calculate GCF of 621,1548

3 621, 1548
3 207, 516
69, 172

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32348508/9

Therefore the LCM of Fractions 7108/621,9102/1548 is 32348508/9

Greatest Common Factor of 621,1548 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,1548 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 1548

List of positive integer factors of 1548 that divides 1548 without a remainder.

1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548

Greatest Common Factor

We found the factors 621,1548 . The biggest common factor number is the GCF number.
So the greatest common factor 621,1548 is 9.


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 7108/621, 9102/1548

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 7108/621, 9102/1548?

Answer: LCM of Numerators as per given numbers 7108/621, 9102/1548 is

LCM of Numerators i.e. for 7108,9102 is 32348508

GCF of denominators i.e. for 621,1548 is 9.

Thus, LCM of Fractions is 32348508/9.Finally, LCM of Fractions for 7108/621, 9102/1548 is 32348508/9.