Least Common Multiple of 9013/318, 4572/6364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9013/318, 4572/6364 quickly i.e. 20603718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9013/318, 4572/6364 is 20603718.

LCM(9013/318, 4572/6364) = 20603718

LCM of 9013/318, 4572/6364

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 9013/318,4572/6364

Given numbers are 9013/318,4572/6364

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 9013,4572

Least Common Multiple of Numerators i.e. LCM of 9013,4572 is 41207436.

GCF of Denominators means GCF of 318,6364 as per the given fractions.

GCF of 318,6364 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9013,4572

LCM of Fractions 9013/318,4572/6364 is 20603718

Given numbers has no common factors except 1. So, there LCM is their product i.e 41207436

Least Common Multiple of 9013,4572 with GCF Formula

Least Common Multiple of 9013,4572 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 9013,4572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9013,4572) = 1

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

GCF(9013,4572) x common factors =1 x 1 = 1

LCM(9013,4572) = ( 9013 × 4572 ) / 1

LCM(9013,4572) = 41207436 / 1

LCM(9013,4572) = 41207436


Lets's calculate GCF of 318,6364

2 318, 6364
159, 3182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41207436/2

Therefore the LCM of Fractions 9013/318,4572/6364 is 20603718

Greatest Common Factor of 318,6364 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,6364 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 6364

List of positive integer factors of 6364 that divides 6364 without a remainder.

1,2,4,37,43,74,86,148,172,1591,3182,6364

Greatest Common Factor

We found the factors 318,6364 . The biggest common factor number is the GCF number.
So the greatest common factor 318,6364 is 2.


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Frequently Asked Questions on Fractional LCM of 9013/318, 4572/6364

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 9013/318, 4572/6364?

Answer: LCM of Numerators as per given numbers 9013/318, 4572/6364 is

LCM of Numerators i.e. for 9013,4572 is 41207436

GCF of denominators i.e. for 318,6364 is 2.

Thus, LCM of Fractions is 20603718.Finally, LCM of Fractions for 9013/318, 4572/6364 is 20603718.