Least Common Multiple of 44/448, 7089/9122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/448, 7089/9122 quickly i.e. 155958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/448, 7089/9122 is 155958.

LCM(44/448, 7089/9122) = 155958

LCM of 44/448, 7089/9122

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 44/448,7089/9122

Given numbers are 44/448,7089/9122

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 44,7089

Least Common Multiple of Numerators i.e. LCM of 44,7089 is 311916.

GCF of Denominators means GCF of 448,9122 as per the given fractions.

GCF of 448,9122 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,7089

LCM of Fractions 44/448,7089/9122 is 155958

Given numbers has no common factors except 1. So, there LCM is their product i.e 311916

Least Common Multiple of 44,7089 with GCF Formula

Least Common Multiple of 44,7089 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 44,7089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,7089) = 1

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

GCF(44,7089) x common factors =1 x 1 = 1

LCM(44,7089) = ( 44 × 7089 ) / 1

LCM(44,7089) = 311916 / 1

LCM(44,7089) = 311916


Lets's calculate GCF of 448,9122

2 448, 9122
224, 4561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311916/2

Therefore the LCM of Fractions 44/448,7089/9122 is 155958

Greatest Common Factor of 448,9122 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,9122 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 9122

List of positive integer factors of 9122 that divides 9122 without a remainder.

1,2,4561,9122

Greatest Common Factor

We found the factors 448,9122 . The biggest common factor number is the GCF number.
So the greatest common factor 448,9122 is 2.


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Frequently Asked Questions on Fractional LCM of 44/448, 7089/9122

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 44/448, 7089/9122?

Answer: LCM of Numerators as per given numbers 44/448, 7089/9122 is

LCM of Numerators i.e. for 44,7089 is 311916

GCF of denominators i.e. for 448,9122 is 2.

Thus, LCM of Fractions is 155958.Finally, LCM of Fractions for 44/448, 7089/9122 is 155958.