Least Common Multiple of 4977/658, 5358/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4977/658, 5358/256 quickly i.e. 4444461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4977/658, 5358/256 is 4444461.

LCM(4977/658, 5358/256) = 4444461

LCM of 4977/658, 5358/256

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 4977/658,5358/256

Given numbers are 4977/658,5358/256

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 4977,5358

Least Common Multiple of Numerators i.e. LCM of 4977,5358 is 8888922.

GCF of Denominators means GCF of 658,256 as per the given fractions.

GCF of 658,256 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4977,5358

LCM of Fractions 4977/658,5358/256 is 4444461

3 4977, 5358
1659, 1786

∴ So the LCM of the given numbers is 3 x 1659 x 1786 = 8888922

Least Common Multiple of 4977,5358 with GCF Formula

Least Common Multiple of 4977,5358 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 4977,5358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4977,5358) = 3

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

GCF(4977,5358) x common factors =3 x 1 = 3

LCM(4977,5358) = ( 4977 × 5358 ) / 3

LCM(4977,5358) = 26666766 / 3

LCM(4977,5358) = 8888922


Lets's calculate GCF of 658,256

2 658, 256
329, 128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8888922/2

Therefore the LCM of Fractions 4977/658,5358/256 is 4444461

Greatest Common Factor of 658,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,256 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 658,256 . The biggest common factor number is the GCF number.
So the greatest common factor 658,256 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 4977/658, 5358/256

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 4977/658, 5358/256?

Answer: LCM of Numerators as per given numbers 4977/658, 5358/256 is

LCM of Numerators i.e. for 4977,5358 is 8888922

GCF of denominators i.e. for 658,256 is 2.

Thus, LCM of Fractions is 4444461.Finally, LCM of Fractions for 4977/658, 5358/256 is 4444461.