Least Common Multiple of 64/598, 6254/5369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/598, 6254/5369 quickly i.e. 200128/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/598, 6254/5369 is 200128/13.

LCM(64/598, 6254/5369) = 200128/13

LCM of 64/598, 6254/5369

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 64/598,6254/5369

Given numbers are 64/598,6254/5369

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 64,6254

Least Common Multiple of Numerators i.e. LCM of 64,6254 is 200128.

GCF of Denominators means GCF of 598,5369 as per the given fractions.

GCF of 598,5369 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,6254

LCM of Fractions 64/598,6254/5369 is 200128/13

2 64, 6254
32, 3127

∴ So the LCM of the given numbers is 2 x 32 x 3127 = 200128

Least Common Multiple of 64,6254 with GCF Formula

Least Common Multiple of 64,6254 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 64,6254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,6254) = 2

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

GCF(64,6254) x common factors =2 x 1 = 2

LCM(64,6254) = ( 64 × 6254 ) / 2

LCM(64,6254) = 400256 / 2

LCM(64,6254) = 200128


Lets's calculate GCF of 598,5369

13 598, 5369
46, 413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200128/13

Therefore the LCM of Fractions 64/598,6254/5369 is 200128/13

Greatest Common Factor of 598,5369 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,5369 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 5369

List of positive integer factors of 5369 that divides 5369 without a remainder.

1,7,13,59,91,413,767,5369

Greatest Common Factor

We found the factors 598,5369 . The biggest common factor number is the GCF number.
So the greatest common factor 598,5369 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 64/598, 6254/5369

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 64/598, 6254/5369?

Answer: LCM of Numerators as per given numbers 64/598, 6254/5369 is

LCM of Numerators i.e. for 64,6254 is 200128

GCF of denominators i.e. for 598,5369 is 13.

Thus, LCM of Fractions is 200128/13.Finally, LCM of Fractions for 64/598, 6254/5369 is 200128/13.