Least Common Multiple of 7428/444, 9075/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7428/444, 9075/937 quickly i.e. 22469700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7428/444, 9075/937 is 22469700.

LCM(7428/444, 9075/937) = 22469700

LCM of 7428/444, 9075/937

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 7428/444,9075/937

Given numbers are 7428/444,9075/937

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 7428,9075

Least Common Multiple of Numerators i.e. LCM of 7428,9075 is 22469700.

GCF of Denominators means GCF of 444,937 as per the given fractions.

GCF of 444,937 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7428,9075

LCM of Fractions 7428/444,9075/937 is 22469700

3 7428, 9075
2476, 3025

∴ So the LCM of the given numbers is 3 x 2476 x 3025 = 22469700

Least Common Multiple of 7428,9075 with GCF Formula

Least Common Multiple of 7428,9075 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 7428,9075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7428,9075) = 3

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

GCF(7428,9075) x common factors =3 x 1 = 3

LCM(7428,9075) = ( 7428 × 9075 ) / 3

LCM(7428,9075) = 67409100 / 3

LCM(7428,9075) = 22469700


Lets's calculate GCF of 444,937

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22469700/1

Therefore the LCM of Fractions 7428/444,9075/937 is 22469700

Greatest Common Factor of 444,937 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,937 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Greatest Common Factor

We found the factors 444,937 . The biggest common factor number is the GCF number.
So the greatest common factor 444,937 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7428/444, 9075/937

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 7428/444, 9075/937?

Answer: LCM of Numerators as per given numbers 7428/444, 9075/937 is

LCM of Numerators i.e. for 7428,9075 is 22469700

GCF of denominators i.e. for 444,937 is 1.

Thus, LCM of Fractions is 22469700.Finally, LCM of Fractions for 7428/444, 9075/937 is 22469700.