Least Common Multiple of 59/83, 18/648, 540/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/83, 18/648, 540/760 quickly i.e. 31860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/83, 18/648, 540/760 is 31860.

LCM(59/83, 18/648, 540/760) = 31860

LCM of 59/83, 18/648, 540/760

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 59/83,18/648,540/760

Given numbers are 59/83,18/648,540/760

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 59,18,540

Least Common Multiple of Numerators i.e. LCM of 59,18,540 is 31860.

GCF of Denominators means GCF of 83,648,760 as per the given fractions.

GCF of 83,648,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,18,540

LCM of Fractions 59/83,18/648,540/760 is 31860

2 59, 18, 540
3 59, 9, 270
3 59, 3, 90
59, 1, 30

∴ So the LCM of the given numbers is 2 x 3 x 3 x 59 x 1 x 30 = 31860

Least Common Multiple of 59,18,540 with GCF Formula

Least Common Multiple of 59,18,540 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 59,18,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,18,540) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(59,18,540) x common factors =1 x 18 = 18

LCM(59,18,540) = ( 59 × 18 × 540 ) / 18

LCM(59,18,540) = 573480 / 18

LCM(59,18,540) = 31860


Lets's calculate GCF of 83,648,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31860/1

Therefore the LCM of Fractions 59/83,18/648,540/760 is 31860

Greatest Common Factor of 83,648,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,648,760 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 83,648,760 . The biggest common factor number is the GCF number.
So the greatest common factor 83,648,760 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 59/83, 18/648, 540/760

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 59/83, 18/648, 540/760?

Answer: LCM of Numerators as per given numbers 59/83, 18/648, 540/760 is

LCM of Numerators i.e. for 59,18,540 is 31860

GCF of denominators i.e. for 83,648,760 is 1.

Thus, LCM of Fractions is 31860.Finally, LCM of Fractions for 59/83, 18/648, 540/760 is 31860.