Least Common Multiple of 35/540, 60/307, 510/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/540, 60/307, 510/108 quickly i.e. 7140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/540, 60/307, 510/108 is 7140.

LCM(35/540, 60/307, 510/108) = 7140

LCM of 35/540, 60/307, 510/108

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 35/540,60/307,510/108

Given numbers are 35/540,60/307,510/108

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 35,60,510

Least Common Multiple of Numerators i.e. LCM of 35,60,510 is 7140.

GCF of Denominators means GCF of 540,307,108 as per the given fractions.

GCF of 540,307,108 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,60,510

LCM of Fractions 35/540,60/307,510/108 is 7140

2 35, 60, 510
3 35, 30, 255
5 35, 10, 85
7, 2, 17

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 2 x 17 = 7140

Least Common Multiple of 35,60,510 with GCF Formula

Least Common Multiple of 35,60,510 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 35,60,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,60,510) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(35,60,510) x common factors =5 x 30 = 150

LCM(35,60,510) = ( 35 × 60 × 510 ) / 150

LCM(35,60,510) = 1071000 / 150

LCM(35,60,510) = 7140


Lets's calculate GCF of 540,307,108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7140/1

Therefore the LCM of Fractions 35/540,60/307,510/108 is 7140

Greatest Common Factor of 540,307,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,307,108 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 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 540,307,108 . The biggest common factor number is the GCF number.
So the greatest common factor 540,307,108 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 35/540, 60/307, 510/108

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 35/540, 60/307, 510/108?

Answer: LCM of Numerators as per given numbers 35/540, 60/307, 510/108 is

LCM of Numerators i.e. for 35,60,510 is 7140

GCF of denominators i.e. for 540,307,108 is 1.

Thus, LCM of Fractions is 7140.Finally, LCM of Fractions for 35/540, 60/307, 510/108 is 7140.