Least Common Multiple of 240/540, 152/287, 214/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/540, 152/287, 214/504 quickly i.e. 487920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/540, 152/287, 214/504 is 487920.

LCM(240/540, 152/287, 214/504) = 487920

LCM of 240/540, 152/287, 214/504

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 240/540,152/287,214/504

Given numbers are 240/540,152/287,214/504

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 240,152,214

Least Common Multiple of Numerators i.e. LCM of 240,152,214 is 487920.

GCF of Denominators means GCF of 540,287,504 as per the given fractions.

GCF of 540,287,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,152,214

LCM of Fractions 240/540,152/287,214/504 is 487920

2 240, 152, 214
2 120, 76, 107
2 60, 38, 107
30, 19, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 30 x 19 x 107 = 487920

Least Common Multiple of 240,152,214 with GCF Formula

Least Common Multiple of 240,152,214 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 240,152,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,152,214) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(240,152,214) x common factors =2 x 8 = 16

LCM(240,152,214) = ( 240 × 152 × 214 ) / 16

LCM(240,152,214) = 7806720 / 16

LCM(240,152,214) = 487920


Lets's calculate GCF of 540,287,504

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487920/1

Therefore the LCM of Fractions 240/540,152/287,214/504 is 487920

Greatest Common Factor of 540,287,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,287,504 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 540,287,504 . The biggest common factor number is the GCF number.
So the greatest common factor 540,287,504 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 240/540, 152/287, 214/504

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 240/540, 152/287, 214/504?

Answer: LCM of Numerators as per given numbers 240/540, 152/287, 214/504 is

LCM of Numerators i.e. for 240,152,214 is 487920

GCF of denominators i.e. for 540,287,504 is 1.

Thus, LCM of Fractions is 487920.Finally, LCM of Fractions for 240/540, 152/287, 214/504 is 487920.