Least Common Multiple of 5688/144, 8729/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5688/144, 8729/258 quickly i.e. 8275092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5688/144, 8729/258 is 8275092.

LCM(5688/144, 8729/258) = 8275092

LCM of 5688/144, 8729/258

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 5688/144,8729/258

Given numbers are 5688/144,8729/258

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 5688,8729

Least Common Multiple of Numerators i.e. LCM of 5688,8729 is 49650552.

GCF of Denominators means GCF of 144,258 as per the given fractions.

GCF of 144,258 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5688,8729

LCM of Fractions 5688/144,8729/258 is 8275092

Given numbers has no common factors except 1. So, there LCM is their product i.e 49650552

Least Common Multiple of 5688,8729 with GCF Formula

Least Common Multiple of 5688,8729 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 5688,8729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5688,8729) = 1

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

GCF(5688,8729) x common factors =1 x 1 = 1

LCM(5688,8729) = ( 5688 × 8729 ) / 1

LCM(5688,8729) = 49650552 / 1

LCM(5688,8729) = 49650552


Lets's calculate GCF of 144,258

2 144, 258
3 72, 129
24, 43

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49650552/6

Therefore the LCM of Fractions 5688/144,8729/258 is 8275092

Greatest Common Factor of 144,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,258 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 144,258 . The biggest common factor number is the GCF number.
So the greatest common factor 144,258 is 6.


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 5688/144, 8729/258

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 5688/144, 8729/258?

Answer: LCM of Numerators as per given numbers 5688/144, 8729/258 is

LCM of Numerators i.e. for 5688,8729 is 49650552

GCF of denominators i.e. for 144,258 is 6.

Thus, LCM of Fractions is 8275092.Finally, LCM of Fractions for 5688/144, 8729/258 is 8275092.