Least Common Multiple of 9643/425, 3847/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9643/425, 3847/465 quickly i.e. 37096621/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9643/425, 3847/465 is 37096621/5.

LCM(9643/425, 3847/465) = 37096621/5

LCM of 9643/425, 3847/465

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 9643/425,3847/465

Given numbers are 9643/425,3847/465

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 9643,3847

Least Common Multiple of Numerators i.e. LCM of 9643,3847 is 37096621.

GCF of Denominators means GCF of 425,465 as per the given fractions.

GCF of 425,465 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9643,3847

LCM of Fractions 9643/425,3847/465 is 37096621/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 37096621

Least Common Multiple of 9643,3847 with GCF Formula

Least Common Multiple of 9643,3847 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 9643,3847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9643,3847) = 1

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

GCF(9643,3847) x common factors =1 x 1 = 1

LCM(9643,3847) = ( 9643 × 3847 ) / 1

LCM(9643,3847) = 37096621 / 1

LCM(9643,3847) = 37096621


Lets's calculate GCF of 425,465

5 425, 465
85, 93

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37096621/5

Therefore the LCM of Fractions 9643/425,3847/465 is 37096621/5

Greatest Common Factor of 425,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,465 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 425,465 . The biggest common factor number is the GCF number.
So the greatest common factor 425,465 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9643/425, 3847/465

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 9643/425, 3847/465?

Answer: LCM of Numerators as per given numbers 9643/425, 3847/465 is

LCM of Numerators i.e. for 9643,3847 is 37096621

GCF of denominators i.e. for 425,465 is 5.

Thus, LCM of Fractions is 37096621/5.Finally, LCM of Fractions for 9643/425, 3847/465 is 37096621/5.