Least Common Multiple of 7844/474, 9109/4375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7844/474, 9109/4375 quickly i.e. 71450996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7844/474, 9109/4375 is 71450996.

LCM(7844/474, 9109/4375) = 71450996

LCM of 7844/474, 9109/4375

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 7844/474,9109/4375

Given numbers are 7844/474,9109/4375

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 7844,9109

Least Common Multiple of Numerators i.e. LCM of 7844,9109 is 71450996.

GCF of Denominators means GCF of 474,4375 as per the given fractions.

GCF of 474,4375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7844,9109

LCM of Fractions 7844/474,9109/4375 is 71450996

Given numbers has no common factors except 1. So, there LCM is their product i.e 71450996

Least Common Multiple of 7844,9109 with GCF Formula

Least Common Multiple of 7844,9109 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 7844,9109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7844,9109) = 1

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

GCF(7844,9109) x common factors =1 x 1 = 1

LCM(7844,9109) = ( 7844 × 9109 ) / 1

LCM(7844,9109) = 71450996 / 1

LCM(7844,9109) = 71450996


Lets's calculate GCF of 474,4375

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71450996/1

Therefore the LCM of Fractions 7844/474,9109/4375 is 71450996

Greatest Common Factor of 474,4375 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,4375 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 4375

List of positive integer factors of 4375 that divides 4375 without a remainder.

1,5,7,25,35,125,175,625,875,4375

Greatest Common Factor

We found the factors 474,4375 . The biggest common factor number is the GCF number.
So the greatest common factor 474,4375 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7844/474, 9109/4375

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 7844/474, 9109/4375?

Answer: LCM of Numerators as per given numbers 7844/474, 9109/4375 is

LCM of Numerators i.e. for 7844,9109 is 71450996

GCF of denominators i.e. for 474,4375 is 1.

Thus, LCM of Fractions is 71450996.Finally, LCM of Fractions for 7844/474, 9109/4375 is 71450996.