Least Common Multiple of 9450/54, 7530/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9450/54, 7530/738 quickly i.e. 131775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9450/54, 7530/738 is 131775.

LCM(9450/54, 7530/738) = 131775

LCM of 9450/54, 7530/738

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 9450/54,7530/738

Given numbers are 9450/54,7530/738

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 9450,7530

Least Common Multiple of Numerators i.e. LCM of 9450,7530 is 2371950.

GCF of Denominators means GCF of 54,738 as per the given fractions.

GCF of 54,738 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9450,7530

LCM of Fractions 9450/54,7530/738 is 131775

2 9450, 7530
3 4725, 3765
5 1575, 1255
315, 251

∴ So the LCM of the given numbers is 2 x 3 x 5 x 315 x 251 = 2371950

Least Common Multiple of 9450,7530 with GCF Formula

Least Common Multiple of 9450,7530 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 9450,7530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9450,7530) = 30

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

GCF(9450,7530) x common factors =30 x 1 = 30

LCM(9450,7530) = ( 9450 × 7530 ) / 30

LCM(9450,7530) = 71158500 / 30

LCM(9450,7530) = 2371950


Lets's calculate GCF of 54,738

2 54, 738
3 27, 369
3 9, 123
3, 41

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2371950/18

Therefore the LCM of Fractions 9450/54,7530/738 is 131775

Greatest Common Factor of 54,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,738 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 54,738 . The biggest common factor number is the GCF number.
So the greatest common factor 54,738 is 18.


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 9450/54, 7530/738

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 9450/54, 7530/738?

Answer: LCM of Numerators as per given numbers 9450/54, 7530/738 is

LCM of Numerators i.e. for 9450,7530 is 2371950

GCF of denominators i.e. for 54,738 is 18.

Thus, LCM of Fractions is 131775.Finally, LCM of Fractions for 9450/54, 7530/738 is 131775.