Least Common Multiple of 254/36, 540/1765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 254/36, 540/1765 quickly i.e. 68580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/36, 540/1765 is 68580.

LCM(254/36, 540/1765) = 68580

LCM of 254/36, 540/1765

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 254/36,540/1765

Given numbers are 254/36,540/1765

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 254,540

Least Common Multiple of Numerators i.e. LCM of 254,540 is 68580.

GCF of Denominators means GCF of 36,1765 as per the given fractions.

GCF of 36,1765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,540

LCM of Fractions 254/36,540/1765 is 68580

2 254, 540
127, 270

∴ So the LCM of the given numbers is 2 x 127 x 270 = 68580

Least Common Multiple of 254,540 with GCF Formula

Least Common Multiple of 254,540 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 254,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,540) = 2

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

GCF(254,540) x common factors =2 x 1 = 2

LCM(254,540) = ( 254 × 540 ) / 2

LCM(254,540) = 137160 / 2

LCM(254,540) = 68580


Lets's calculate GCF of 36,1765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68580/1

Therefore the LCM of Fractions 254/36,540/1765 is 68580

Greatest Common Factor of 36,1765 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,1765 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 1765

List of positive integer factors of 1765 that divides 1765 without a remainder.

1,5,353,1765

Greatest Common Factor

We found the factors 36,1765 . The biggest common factor number is the GCF number.
So the greatest common factor 36,1765 is 1.


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 254/36, 540/1765

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 254/36, 540/1765?

Answer: LCM of Numerators as per given numbers 254/36, 540/1765 is

LCM of Numerators i.e. for 254,540 is 68580

GCF of denominators i.e. for 36,1765 is 1.

Thus, LCM of Fractions is 68580.Finally, LCM of Fractions for 254/36, 540/1765 is 68580.