Least Common Multiple of 600/257, 114/629, 240/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/257, 114/629, 240/540 quickly i.e. 22800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/257, 114/629, 240/540 is 22800.

LCM(600/257, 114/629, 240/540) = 22800

LCM of 600/257, 114/629, 240/540

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 600/257,114/629,240/540

Given numbers are 600/257,114/629,240/540

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 600,114,240

Least Common Multiple of Numerators i.e. LCM of 600,114,240 is 22800.

GCF of Denominators means GCF of 257,629,540 as per the given fractions.

GCF of 257,629,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,114,240

LCM of Fractions 600/257,114/629,240/540 is 22800

2 600, 114, 240
2 300, 57, 120
2 150, 57, 60
3 75, 57, 30
5 25, 19, 10
5, 19, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 5 x 19 x 2 = 22800

Least Common Multiple of 600,114,240 with GCF Formula

Least Common Multiple of 600,114,240 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 600,114,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,114,240) = 6

common factors(in case of two or more numbers have common factors) = 120

GCF(600,114,240) x common factors =6 x 120 = 720

LCM(600,114,240) = ( 600 × 114 × 240 ) / 720

LCM(600,114,240) = 16416000 / 720

LCM(600,114,240) = 22800


Lets's calculate GCF of 257,629,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22800/1

Therefore the LCM of Fractions 600/257,114/629,240/540 is 22800

Greatest Common Factor of 257,629,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,629,540 By Matching Biggest Common Factor Method

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

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

Greatest Common Factor

We found the factors 257,629,540 . The biggest common factor number is the GCF number.
So the greatest common factor 257,629,540 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 600/257, 114/629, 240/540

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 600/257, 114/629, 240/540?

Answer: LCM of Numerators as per given numbers 600/257, 114/629, 240/540 is

LCM of Numerators i.e. for 600,114,240 is 22800

GCF of denominators i.e. for 257,629,540 is 1.

Thus, LCM of Fractions is 22800.Finally, LCM of Fractions for 600/257, 114/629, 240/540 is 22800.