Least Common Multiple of 7537/444, 6606/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7537/444, 6606/872 quickly i.e. 49789422/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7537/444, 6606/872 is 49789422/4.

LCM(7537/444, 6606/872) = 49789422/4

LCM of 7537/444, 6606/872

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 7537/444,6606/872

Given numbers are 7537/444,6606/872

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 7537,6606

Least Common Multiple of Numerators i.e. LCM of 7537,6606 is 49789422.

GCF of Denominators means GCF of 444,872 as per the given fractions.

GCF of 444,872 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7537,6606

LCM of Fractions 7537/444,6606/872 is 49789422/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 49789422

Least Common Multiple of 7537,6606 with GCF Formula

Least Common Multiple of 7537,6606 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 7537,6606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7537,6606) = 1

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

GCF(7537,6606) x common factors =1 x 1 = 1

LCM(7537,6606) = ( 7537 × 6606 ) / 1

LCM(7537,6606) = 49789422 / 1

LCM(7537,6606) = 49789422


Lets's calculate GCF of 444,872

2 444, 872
2 222, 436
111, 218

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49789422/4

Therefore the LCM of Fractions 7537/444,6606/872 is 49789422/4

Greatest Common Factor of 444,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,872 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 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 444,872 . The biggest common factor number is the GCF number.
So the greatest common factor 444,872 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7537/444, 6606/872

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 7537/444, 6606/872?

Answer: LCM of Numerators as per given numbers 7537/444, 6606/872 is

LCM of Numerators i.e. for 7537,6606 is 49789422

GCF of denominators i.e. for 444,872 is 4.

Thus, LCM of Fractions is 49789422/4.Finally, LCM of Fractions for 7537/444, 6606/872 is 49789422/4.