Least Common Multiple of 58/108, 54/259, 825/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/108, 54/259, 825/320 quickly i.e. 430650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/108, 54/259, 825/320 is 430650.

LCM(58/108, 54/259, 825/320) = 430650

LCM of 58/108, 54/259, 825/320

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 58/108,54/259,825/320

Given numbers are 58/108,54/259,825/320

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 58,54,825

Least Common Multiple of Numerators i.e. LCM of 58,54,825 is 430650.

GCF of Denominators means GCF of 108,259,320 as per the given fractions.

GCF of 108,259,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,54,825

LCM of Fractions 58/108,54/259,825/320 is 430650

2 58, 54, 825
3 29, 27, 825
29, 9, 275

∴ So the LCM of the given numbers is 2 x 3 x 29 x 9 x 275 = 430650

Least Common Multiple of 58,54,825 with GCF Formula

Least Common Multiple of 58,54,825 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 58,54,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,54,825) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(58,54,825) x common factors =1 x 6 = 6

LCM(58,54,825) = ( 58 × 54 × 825 ) / 6

LCM(58,54,825) = 2583900 / 6

LCM(58,54,825) = 430650


Lets's calculate GCF of 108,259,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430650/1

Therefore the LCM of Fractions 58/108,54/259,825/320 is 430650

Greatest Common Factor of 108,259,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,259,320 By Matching Biggest Common Factor Method

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

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 108,259,320 . The biggest common factor number is the GCF number.
So the greatest common factor 108,259,320 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 58/108, 54/259, 825/320

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 58/108, 54/259, 825/320?

Answer: LCM of Numerators as per given numbers 58/108, 54/259, 825/320 is

LCM of Numerators i.e. for 58,54,825 is 430650

GCF of denominators i.e. for 108,259,320 is 1.

Thus, LCM of Fractions is 430650.Finally, LCM of Fractions for 58/108, 54/259, 825/320 is 430650.