Least Common Multiple of 58/336, 2985/8619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/336, 2985/8619 quickly i.e. 57710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/336, 2985/8619 is 57710.

LCM(58/336, 2985/8619) = 57710

LCM of 58/336, 2985/8619

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 58/336,2985/8619

Given numbers are 58/336,2985/8619

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 58,2985

Least Common Multiple of Numerators i.e. LCM of 58,2985 is 173130.

GCF of Denominators means GCF of 336,8619 as per the given fractions.

GCF of 336,8619 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,2985

LCM of Fractions 58/336,2985/8619 is 57710

Given numbers has no common factors except 1. So, there LCM is their product i.e 173130

Least Common Multiple of 58,2985 with GCF Formula

Least Common Multiple of 58,2985 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 58,2985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,2985) = 1

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

GCF(58,2985) x common factors =1 x 1 = 1

LCM(58,2985) = ( 58 × 2985 ) / 1

LCM(58,2985) = 173130 / 1

LCM(58,2985) = 173130


Lets's calculate GCF of 336,8619

3 336, 8619
112, 2873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173130/3

Therefore the LCM of Fractions 58/336,2985/8619 is 57710

Greatest Common Factor of 336,8619 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,8619 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 8619

List of positive integer factors of 8619 that divides 8619 without a remainder.

1,3,13,17,39,51,169,221,507,663,2873,8619

Greatest Common Factor

We found the factors 336,8619 . The biggest common factor number is the GCF number.
So the greatest common factor 336,8619 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 58/336, 2985/8619

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 58/336, 2985/8619?

Answer: LCM of Numerators as per given numbers 58/336, 2985/8619 is

LCM of Numerators i.e. for 58,2985 is 173130

GCF of denominators i.e. for 336,8619 is 3.

Thus, LCM of Fractions is 57710.Finally, LCM of Fractions for 58/336, 2985/8619 is 57710.