Least Common Multiple of 512/598, 444/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/598, 444/117 quickly i.e. 56832/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/598, 444/117 is 56832/13.

LCM(512/598, 444/117) = 56832/13

LCM of 512/598, 444/117

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 512/598,444/117

Given numbers are 512/598,444/117

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 512,444

Least Common Multiple of Numerators i.e. LCM of 512,444 is 56832.

GCF of Denominators means GCF of 598,117 as per the given fractions.

GCF of 598,117 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,444

LCM of Fractions 512/598,444/117 is 56832/13

2 512, 444
2 256, 222
128, 111

∴ So the LCM of the given numbers is 2 x 2 x 128 x 111 = 56832

Least Common Multiple of 512,444 with GCF Formula

Least Common Multiple of 512,444 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 512,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,444) = 4

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

GCF(512,444) x common factors =4 x 1 = 4

LCM(512,444) = ( 512 × 444 ) / 4

LCM(512,444) = 227328 / 4

LCM(512,444) = 56832


Lets's calculate GCF of 598,117

13 598, 117
46, 9

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56832/13

Therefore the LCM of Fractions 512/598,444/117 is 56832/13

Greatest Common Factor of 598,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,117 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 598,117 . The biggest common factor number is the GCF number.
So the greatest common factor 598,117 is 13.


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 512/598, 444/117

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 512/598, 444/117?

Answer: LCM of Numerators as per given numbers 512/598, 444/117 is

LCM of Numerators i.e. for 512,444 is 56832

GCF of denominators i.e. for 598,117 is 13.

Thus, LCM of Fractions is 56832/13.Finally, LCM of Fractions for 512/598, 444/117 is 56832/13.