Least Common Multiple of 58/357, 85/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/357, 85/240 quickly i.e. 4930/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/357, 85/240 is 4930/3.

LCM(58/357, 85/240) = 4930/3

LCM of 58/357, 85/240

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 58/357,85/240

Given numbers are 58/357,85/240

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 58,85

Least Common Multiple of Numerators i.e. LCM of 58,85 is 4930.

GCF of Denominators means GCF of 357,240 as per the given fractions.

GCF of 357,240 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,85

LCM of Fractions 58/357,85/240 is 4930/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 4930

Least Common Multiple of 58,85 with GCF Formula

Least Common Multiple of 58,85 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 58,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,85) = 1

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

GCF(58,85) x common factors =1 x 1 = 1

LCM(58,85) = ( 58 × 85 ) / 1

LCM(58,85) = 4930 / 1

LCM(58,85) = 4930


Lets's calculate GCF of 357,240

3 357, 240
119, 80

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4930/3

Therefore the LCM of Fractions 58/357,85/240 is 4930/3

Greatest Common Factor of 357,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,240 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 357,240 . The biggest common factor number is the GCF number.
So the greatest common factor 357,240 is 3.


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 58/357, 85/240

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 58/357, 85/240?

Answer: LCM of Numerators as per given numbers 58/357, 85/240 is

LCM of Numerators i.e. for 58,85 is 4930

GCF of denominators i.e. for 357,240 is 3.

Thus, LCM of Fractions is 4930/3.Finally, LCM of Fractions for 58/357, 85/240 is 4930/3.