Least Common Multiple of 4798/89, 9812/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4798/89, 9812/360 quickly i.e. 23538988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4798/89, 9812/360 is 23538988.

LCM(4798/89, 9812/360) = 23538988

LCM of 4798/89, 9812/360

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 4798/89,9812/360

Given numbers are 4798/89,9812/360

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 4798,9812

Least Common Multiple of Numerators i.e. LCM of 4798,9812 is 23538988.

GCF of Denominators means GCF of 89,360 as per the given fractions.

GCF of 89,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4798,9812

LCM of Fractions 4798/89,9812/360 is 23538988

2 4798, 9812
2399, 4906

∴ So the LCM of the given numbers is 2 x 2399 x 4906 = 23538988

Least Common Multiple of 4798,9812 with GCF Formula

Least Common Multiple of 4798,9812 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 4798,9812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4798,9812) = 2

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

GCF(4798,9812) x common factors =2 x 1 = 2

LCM(4798,9812) = ( 4798 × 9812 ) / 2

LCM(4798,9812) = 47077976 / 2

LCM(4798,9812) = 23538988


Lets's calculate GCF of 89,360

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23538988/1

Therefore the LCM of Fractions 4798/89,9812/360 is 23538988

Greatest Common Factor of 89,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,360 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 89,360 . The biggest common factor number is the GCF number.
So the greatest common factor 89,360 is 1.


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 4798/89, 9812/360

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 4798/89, 9812/360?

Answer: LCM of Numerators as per given numbers 4798/89, 9812/360 is

LCM of Numerators i.e. for 4798,9812 is 23538988

GCF of denominators i.e. for 89,360 is 1.

Thus, LCM of Fractions is 23538988.Finally, LCM of Fractions for 4798/89, 9812/360 is 23538988.