Least Common Multiple of 540/75, 460/3095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/75, 460/3095 quickly i.e. 2484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/75, 460/3095 is 2484.

LCM(540/75, 460/3095) = 2484

LCM of 540/75, 460/3095

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 540/75,460/3095

Given numbers are 540/75,460/3095

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 540,460

Least Common Multiple of Numerators i.e. LCM of 540,460 is 12420.

GCF of Denominators means GCF of 75,3095 as per the given fractions.

GCF of 75,3095 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,460

LCM of Fractions 540/75,460/3095 is 2484

2 540, 460
2 270, 230
5 135, 115
27, 23

∴ So the LCM of the given numbers is 2 x 2 x 5 x 27 x 23 = 12420

Least Common Multiple of 540,460 with GCF Formula

Least Common Multiple of 540,460 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 540,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,460) = 20

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

GCF(540,460) x common factors =20 x 1 = 20

LCM(540,460) = ( 540 × 460 ) / 20

LCM(540,460) = 248400 / 20

LCM(540,460) = 12420


Lets's calculate GCF of 75,3095

5 75, 3095
15, 619

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12420/5

Therefore the LCM of Fractions 540/75,460/3095 is 2484

Greatest Common Factor of 75,3095 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,3095 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 3095

List of positive integer factors of 3095 that divides 3095 without a remainder.

1,5,619,3095

Greatest Common Factor

We found the factors 75,3095 . The biggest common factor number is the GCF number.
So the greatest common factor 75,3095 is 5.


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 540/75, 460/3095

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 540/75, 460/3095?

Answer: LCM of Numerators as per given numbers 540/75, 460/3095 is

LCM of Numerators i.e. for 540,460 is 12420

GCF of denominators i.e. for 75,3095 is 5.

Thus, LCM of Fractions is 2484.Finally, LCM of Fractions for 540/75, 460/3095 is 2484.