Least Common Multiple of 657/403, 233/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 657/403, 233/270 quickly i.e. 153081 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 657/403, 233/270 is 153081.

LCM(657/403, 233/270) = 153081

LCM of 657/403, 233/270

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 657/403,233/270

Given numbers are 657/403,233/270

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 657,233

Least Common Multiple of Numerators i.e. LCM of 657,233 is 153081.

GCF of Denominators means GCF of 403,270 as per the given fractions.

GCF of 403,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 657,233

LCM of Fractions 657/403,233/270 is 153081

Given numbers has no common factors except 1. So, there LCM is their product i.e 153081

Least Common Multiple of 657,233 with GCF Formula

Least Common Multiple of 657,233 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 657,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,233) = 1

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

GCF(657,233) x common factors =1 x 1 = 1

LCM(657,233) = ( 657 × 233 ) / 1

LCM(657,233) = 153081 / 1

LCM(657,233) = 153081


Lets's calculate GCF of 403,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153081/1

Therefore the LCM of Fractions 657/403,233/270 is 153081

Greatest Common Factor of 403,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,270 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 403,270 . The biggest common factor number is the GCF number.
So the greatest common factor 403,270 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 657/403, 233/270

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 657/403, 233/270?

Answer: LCM of Numerators as per given numbers 657/403, 233/270 is

LCM of Numerators i.e. for 657,233 is 153081

GCF of denominators i.e. for 403,270 is 1.

Thus, LCM of Fractions is 153081.Finally, LCM of Fractions for 657/403, 233/270 is 153081.