Least Common Multiple of 258/506, 8937/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/506, 8937/106 quickly i.e. 384291 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/506, 8937/106 is 384291.

LCM(258/506, 8937/106) = 384291

LCM of 258/506, 8937/106

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 258/506,8937/106

Given numbers are 258/506,8937/106

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 258,8937

Least Common Multiple of Numerators i.e. LCM of 258,8937 is 768582.

GCF of Denominators means GCF of 506,106 as per the given fractions.

GCF of 506,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,8937

LCM of Fractions 258/506,8937/106 is 384291

3 258, 8937
86, 2979

∴ So the LCM of the given numbers is 3 x 86 x 2979 = 768582

Least Common Multiple of 258,8937 with GCF Formula

Least Common Multiple of 258,8937 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 258,8937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,8937) = 3

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

GCF(258,8937) x common factors =3 x 1 = 3

LCM(258,8937) = ( 258 × 8937 ) / 3

LCM(258,8937) = 2305746 / 3

LCM(258,8937) = 768582


Lets's calculate GCF of 506,106

2 506, 106
253, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768582/2

Therefore the LCM of Fractions 258/506,8937/106 is 384291

Greatest Common Factor of 506,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,106 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 506,106 . The biggest common factor number is the GCF number.
So the greatest common factor 506,106 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 258/506, 8937/106

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 258/506, 8937/106?

Answer: LCM of Numerators as per given numbers 258/506, 8937/106 is

LCM of Numerators i.e. for 258,8937 is 768582

GCF of denominators i.e. for 506,106 is 2.

Thus, LCM of Fractions is 384291.Finally, LCM of Fractions for 258/506, 8937/106 is 384291.