Least Common Multiple of 9425/442, 5128/7130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9425/442, 5128/7130 quickly i.e. 24165700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9425/442, 5128/7130 is 24165700.

LCM(9425/442, 5128/7130) = 24165700

LCM of 9425/442, 5128/7130

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 9425/442,5128/7130

Given numbers are 9425/442,5128/7130

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 9425,5128

Least Common Multiple of Numerators i.e. LCM of 9425,5128 is 48331400.

GCF of Denominators means GCF of 442,7130 as per the given fractions.

GCF of 442,7130 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9425,5128

LCM of Fractions 9425/442,5128/7130 is 24165700

Given numbers has no common factors except 1. So, there LCM is their product i.e 48331400

Least Common Multiple of 9425,5128 with GCF Formula

Least Common Multiple of 9425,5128 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 9425,5128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9425,5128) = 1

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

GCF(9425,5128) x common factors =1 x 1 = 1

LCM(9425,5128) = ( 9425 × 5128 ) / 1

LCM(9425,5128) = 48331400 / 1

LCM(9425,5128) = 48331400


Lets's calculate GCF of 442,7130

2 442, 7130
221, 3565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48331400/2

Therefore the LCM of Fractions 9425/442,5128/7130 is 24165700

Greatest Common Factor of 442,7130 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,7130 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 7130

List of positive integer factors of 7130 that divides 7130 without a remainder.

1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130

Greatest Common Factor

We found the factors 442,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 442,7130 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 9425/442, 5128/7130

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 9425/442, 5128/7130?

Answer: LCM of Numerators as per given numbers 9425/442, 5128/7130 is

LCM of Numerators i.e. for 9425,5128 is 48331400

GCF of denominators i.e. for 442,7130 is 2.

Thus, LCM of Fractions is 24165700.Finally, LCM of Fractions for 9425/442, 5128/7130 is 24165700.