Least Common Multiple of 118/578, 5659/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 118/578, 5659/592 quickly i.e. 333881 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 118/578, 5659/592 is 333881.

LCM(118/578, 5659/592) = 333881

LCM of 118/578, 5659/592

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 118/578,5659/592

Given numbers are 118/578,5659/592

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 118,5659

Least Common Multiple of Numerators i.e. LCM of 118,5659 is 667762.

GCF of Denominators means GCF of 578,592 as per the given fractions.

GCF of 578,592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 118,5659

LCM of Fractions 118/578,5659/592 is 333881

Given numbers has no common factors except 1. So, there LCM is their product i.e 667762

Least Common Multiple of 118,5659 with GCF Formula

Least Common Multiple of 118,5659 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 118,5659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,5659) = 1

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

GCF(118,5659) x common factors =1 x 1 = 1

LCM(118,5659) = ( 118 × 5659 ) / 1

LCM(118,5659) = 667762 / 1

LCM(118,5659) = 667762


Lets's calculate GCF of 578,592

2 578, 592
289, 296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 667762/2

Therefore the LCM of Fractions 118/578,5659/592 is 333881

Greatest Common Factor of 578,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,592 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 578,592 . The biggest common factor number is the GCF number.
So the greatest common factor 578,592 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 118/578, 5659/592

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 118/578, 5659/592?

Answer: LCM of Numerators as per given numbers 118/578, 5659/592 is

LCM of Numerators i.e. for 118,5659 is 667762

GCF of denominators i.e. for 578,592 is 2.

Thus, LCM of Fractions is 333881.Finally, LCM of Fractions for 118/578, 5659/592 is 333881.