Least Common Multiple of 9944/975, 5052/5577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9944/975, 5052/5577 quickly i.e. 12559272/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9944/975, 5052/5577 is 12559272/39.

LCM(9944/975, 5052/5577) = 12559272/39

LCM of 9944/975, 5052/5577

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 9944/975,5052/5577

Given numbers are 9944/975,5052/5577

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 9944,5052

Least Common Multiple of Numerators i.e. LCM of 9944,5052 is 12559272.

GCF of Denominators means GCF of 975,5577 as per the given fractions.

GCF of 975,5577 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9944,5052

LCM of Fractions 9944/975,5052/5577 is 12559272/39

2 9944, 5052
2 4972, 2526
2486, 1263

∴ So the LCM of the given numbers is 2 x 2 x 2486 x 1263 = 12559272

Least Common Multiple of 9944,5052 with GCF Formula

Least Common Multiple of 9944,5052 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 9944,5052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9944,5052) = 4

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

GCF(9944,5052) x common factors =4 x 1 = 4

LCM(9944,5052) = ( 9944 × 5052 ) / 4

LCM(9944,5052) = 50237088 / 4

LCM(9944,5052) = 12559272


Lets's calculate GCF of 975,5577

3 975, 5577
13 325, 1859
25, 143

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12559272/39

Therefore the LCM of Fractions 9944/975,5052/5577 is 12559272/39

Greatest Common Factor of 975,5577 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,5577 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 5577

List of positive integer factors of 5577 that divides 5577 without a remainder.

1,3,11,13,33,39,143,169,429,507,1859,5577

Greatest Common Factor

We found the factors 975,5577 . The biggest common factor number is the GCF number.
So the greatest common factor 975,5577 is 39.


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 9944/975, 5052/5577

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 9944/975, 5052/5577?

Answer: LCM of Numerators as per given numbers 9944/975, 5052/5577 is

LCM of Numerators i.e. for 9944,5052 is 12559272

GCF of denominators i.e. for 975,5577 is 39.

Thus, LCM of Fractions is 12559272/39.Finally, LCM of Fractions for 9944/975, 5052/5577 is 12559272/39.