Least Common Multiple of 1353/327, 5280/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1353/327, 5280/402 quickly i.e. 72160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1353/327, 5280/402 is 72160.

LCM(1353/327, 5280/402) = 72160

LCM of 1353/327, 5280/402

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 1353/327,5280/402

Given numbers are 1353/327,5280/402

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 1353,5280

Least Common Multiple of Numerators i.e. LCM of 1353,5280 is 216480.

GCF of Denominators means GCF of 327,402 as per the given fractions.

GCF of 327,402 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1353,5280

LCM of Fractions 1353/327,5280/402 is 72160

3 1353, 5280
11 451, 1760
41, 160

∴ So the LCM of the given numbers is 3 x 11 x 41 x 160 = 216480

Least Common Multiple of 1353,5280 with GCF Formula

Least Common Multiple of 1353,5280 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 1353,5280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1353,5280) = 33

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

GCF(1353,5280) x common factors =33 x 1 = 33

LCM(1353,5280) = ( 1353 × 5280 ) / 33

LCM(1353,5280) = 7143840 / 33

LCM(1353,5280) = 216480


Lets's calculate GCF of 327,402

3 327, 402
109, 134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216480/3

Therefore the LCM of Fractions 1353/327,5280/402 is 72160

Greatest Common Factor of 327,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,402 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 327,402 . The biggest common factor number is the GCF number.
So the greatest common factor 327,402 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1353/327, 5280/402

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 1353/327, 5280/402?

Answer: LCM of Numerators as per given numbers 1353/327, 5280/402 is

LCM of Numerators i.e. for 1353,5280 is 216480

GCF of denominators i.e. for 327,402 is 3.

Thus, LCM of Fractions is 72160.Finally, LCM of Fractions for 1353/327, 5280/402 is 72160.