Least Common Multiple of 723/241, 5053/9864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 723/241, 5053/9864 quickly i.e. 3653319 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/241, 5053/9864 is 3653319.

LCM(723/241, 5053/9864) = 3653319

LCM of 723/241, 5053/9864

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 723/241,5053/9864

Given numbers are 723/241,5053/9864

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 723,5053

Least Common Multiple of Numerators i.e. LCM of 723,5053 is 3653319.

GCF of Denominators means GCF of 241,9864 as per the given fractions.

GCF of 241,9864 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,5053

LCM of Fractions 723/241,5053/9864 is 3653319

Given numbers has no common factors except 1. So, there LCM is their product i.e 3653319

Least Common Multiple of 723,5053 with GCF Formula

Least Common Multiple of 723,5053 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 723,5053 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,5053) = 1

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

GCF(723,5053) x common factors =1 x 1 = 1

LCM(723,5053) = ( 723 × 5053 ) / 1

LCM(723,5053) = 3653319 / 1

LCM(723,5053) = 3653319


Lets's calculate GCF of 241,9864

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3653319/1

Therefore the LCM of Fractions 723/241,5053/9864 is 3653319

Greatest Common Factor of 241,9864 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,9864 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 9864

List of positive integer factors of 9864 that divides 9864 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864

Greatest Common Factor

We found the factors 241,9864 . The biggest common factor number is the GCF number.
So the greatest common factor 241,9864 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 723/241, 5053/9864

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 723/241, 5053/9864?

Answer: LCM of Numerators as per given numbers 723/241, 5053/9864 is

LCM of Numerators i.e. for 723,5053 is 3653319

GCF of denominators i.e. for 241,9864 is 1.

Thus, LCM of Fractions is 3653319.Finally, LCM of Fractions for 723/241, 5053/9864 is 3653319.