Least Common Multiple of 60/718, 10/730, 483/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/718, 10/730, 483/108 quickly i.e. 4830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/718, 10/730, 483/108 is 4830.

LCM(60/718, 10/730, 483/108) = 4830

LCM of 60/718, 10/730, 483/108

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 60/718,10/730,483/108

Given numbers are 60/718,10/730,483/108

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 60,10,483

Least Common Multiple of Numerators i.e. LCM of 60,10,483 is 9660.

GCF of Denominators means GCF of 718,730,108 as per the given fractions.

GCF of 718,730,108 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,10,483

LCM of Fractions 60/718,10/730,483/108 is 4830

2 60, 10, 483
3 30, 5, 483
5 10, 5, 161
2, 1, 161

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 1 x 161 = 9660

Least Common Multiple of 60,10,483 with GCF Formula

Least Common Multiple of 60,10,483 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 60,10,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,10,483) = 1

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

GCF(60,10,483) x common factors =1 x 30 = 30

LCM(60,10,483) = ( 60 × 10 × 483 ) / 30

LCM(60,10,483) = 289800 / 30

LCM(60,10,483) = 9660


Lets's calculate GCF of 718,730,108

2 718, 730, 108
359, 365, 54

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9660/2

Therefore the LCM of Fractions 60/718,10/730,483/108 is 4830

Greatest Common Factor of 718,730,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,730,108 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

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 718,730,108 . The biggest common factor number is the GCF number.
So the greatest common factor 718,730,108 is 2.


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 60/718, 10/730, 483/108

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 60/718, 10/730, 483/108?

Answer: LCM of Numerators as per given numbers 60/718, 10/730, 483/108 is

LCM of Numerators i.e. for 60,10,483 is 9660

GCF of denominators i.e. for 718,730,108 is 2.

Thus, LCM of Fractions is 4830.Finally, LCM of Fractions for 60/718, 10/730, 483/108 is 4830.