Least Common Multiple of 270/564, 1765/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/564, 1765/903 quickly i.e. 31770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/564, 1765/903 is 31770.

LCM(270/564, 1765/903) = 31770

LCM of 270/564, 1765/903

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 270/564,1765/903

Given numbers are 270/564,1765/903

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 270,1765

Least Common Multiple of Numerators i.e. LCM of 270,1765 is 95310.

GCF of Denominators means GCF of 564,903 as per the given fractions.

GCF of 564,903 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,1765

LCM of Fractions 270/564,1765/903 is 31770

5 270, 1765
54, 353

∴ So the LCM of the given numbers is 5 x 54 x 353 = 95310

Least Common Multiple of 270,1765 with GCF Formula

Least Common Multiple of 270,1765 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 270,1765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,1765) = 5

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

GCF(270,1765) x common factors =5 x 1 = 5

LCM(270,1765) = ( 270 × 1765 ) / 5

LCM(270,1765) = 476550 / 5

LCM(270,1765) = 95310


Lets's calculate GCF of 564,903

3 564, 903
188, 301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95310/3

Therefore the LCM of Fractions 270/564,1765/903 is 31770

Greatest Common Factor of 564,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,903 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 564,903 . The biggest common factor number is the GCF number.
So the greatest common factor 564,903 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 270/564, 1765/903

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 270/564, 1765/903?

Answer: LCM of Numerators as per given numbers 270/564, 1765/903 is

LCM of Numerators i.e. for 270,1765 is 95310

GCF of denominators i.e. for 564,903 is 3.

Thus, LCM of Fractions is 31770.Finally, LCM of Fractions for 270/564, 1765/903 is 31770.