Least Common Multiple of 5382/204, 4451/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5382/204, 4451/303 quickly i.e. 7985094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5382/204, 4451/303 is 7985094.

LCM(5382/204, 4451/303) = 7985094

LCM of 5382/204, 4451/303

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 5382/204,4451/303

Given numbers are 5382/204,4451/303

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 5382,4451

Least Common Multiple of Numerators i.e. LCM of 5382,4451 is 23955282.

GCF of Denominators means GCF of 204,303 as per the given fractions.

GCF of 204,303 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5382,4451

LCM of Fractions 5382/204,4451/303 is 7985094

Given numbers has no common factors except 1. So, there LCM is their product i.e 23955282

Least Common Multiple of 5382,4451 with GCF Formula

Least Common Multiple of 5382,4451 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 5382,4451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5382,4451) = 1

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

GCF(5382,4451) x common factors =1 x 1 = 1

LCM(5382,4451) = ( 5382 × 4451 ) / 1

LCM(5382,4451) = 23955282 / 1

LCM(5382,4451) = 23955282


Lets's calculate GCF of 204,303

3 204, 303
68, 101

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23955282/3

Therefore the LCM of Fractions 5382/204,4451/303 is 7985094

Greatest Common Factor of 204,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,303 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 204,303 . The biggest common factor number is the GCF number.
So the greatest common factor 204,303 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5382/204, 4451/303

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 5382/204, 4451/303?

Answer: LCM of Numerators as per given numbers 5382/204, 4451/303 is

LCM of Numerators i.e. for 5382,4451 is 23955282

GCF of denominators i.e. for 204,303 is 3.

Thus, LCM of Fractions is 7985094.Finally, LCM of Fractions for 5382/204, 4451/303 is 7985094.