Least Common Multiple of 58/540, 8335/7085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/540, 8335/7085 quickly i.e. 96686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/540, 8335/7085 is 96686.

LCM(58/540, 8335/7085) = 96686

LCM of 58/540, 8335/7085

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 58/540,8335/7085

Given numbers are 58/540,8335/7085

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 58,8335

Least Common Multiple of Numerators i.e. LCM of 58,8335 is 483430.

GCF of Denominators means GCF of 540,7085 as per the given fractions.

GCF of 540,7085 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,8335

LCM of Fractions 58/540,8335/7085 is 96686

Given numbers has no common factors except 1. So, there LCM is their product i.e 483430

Least Common Multiple of 58,8335 with GCF Formula

Least Common Multiple of 58,8335 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 58,8335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,8335) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(58,8335) x common factors =1 x 1 = 1

LCM(58,8335) = ( 58 × 8335 ) / 1

LCM(58,8335) = 483430 / 1

LCM(58,8335) = 483430


Lets's calculate GCF of 540,7085

5 540, 7085
108, 1417

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 483430/5

Therefore the LCM of Fractions 58/540,8335/7085 is 96686

Greatest Common Factor of 540,7085 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,7085 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 7085

List of positive integer factors of 7085 that divides 7085 without a remainder.

1,5,13,65,109,545,1417,7085

Greatest Common Factor

We found the factors 540,7085 . The biggest common factor number is the GCF number.
So the greatest common factor 540,7085 is 5.


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 58/540, 8335/7085

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 58/540, 8335/7085?

Answer: LCM of Numerators as per given numbers 58/540, 8335/7085 is

LCM of Numerators i.e. for 58,8335 is 483430

GCF of denominators i.e. for 540,7085 is 5.

Thus, LCM of Fractions is 96686.Finally, LCM of Fractions for 58/540, 8335/7085 is 96686.