Least Common Multiple of 116/590, 7444/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 116/590, 7444/558 quickly i.e. 107938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 116/590, 7444/558 is 107938.

LCM(116/590, 7444/558) = 107938

LCM of 116/590, 7444/558

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 116/590,7444/558

Given numbers are 116/590,7444/558

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 116,7444

Least Common Multiple of Numerators i.e. LCM of 116,7444 is 215876.

GCF of Denominators means GCF of 590,558 as per the given fractions.

GCF of 590,558 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 116,7444

LCM of Fractions 116/590,7444/558 is 107938

2 116, 7444
2 58, 3722
29, 1861

∴ So the LCM of the given numbers is 2 x 2 x 29 x 1861 = 215876

Least Common Multiple of 116,7444 with GCF Formula

Least Common Multiple of 116,7444 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 116,7444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,7444) = 4

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

GCF(116,7444) x common factors =4 x 1 = 4

LCM(116,7444) = ( 116 × 7444 ) / 4

LCM(116,7444) = 863504 / 4

LCM(116,7444) = 215876


Lets's calculate GCF of 590,558

2 590, 558
295, 279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215876/2

Therefore the LCM of Fractions 116/590,7444/558 is 107938

Greatest Common Factor of 590,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,558 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 590,558 . The biggest common factor number is the GCF number.
So the greatest common factor 590,558 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 116/590, 7444/558

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 116/590, 7444/558?

Answer: LCM of Numerators as per given numbers 116/590, 7444/558 is

LCM of Numerators i.e. for 116,7444 is 215876

GCF of denominators i.e. for 590,558 is 2.

Thus, LCM of Fractions is 107938.Finally, LCM of Fractions for 116/590, 7444/558 is 107938.