Least Common Multiple of 97/360, 8812/4508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/360, 8812/4508 quickly i.e. 213691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/360, 8812/4508 is 213691.

LCM(97/360, 8812/4508) = 213691

LCM of 97/360, 8812/4508

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 97/360,8812/4508

Given numbers are 97/360,8812/4508

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 97,8812

Least Common Multiple of Numerators i.e. LCM of 97,8812 is 854764.

GCF of Denominators means GCF of 360,4508 as per the given fractions.

GCF of 360,4508 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,8812

LCM of Fractions 97/360,8812/4508 is 213691

Given numbers has no common factors except 1. So, there LCM is their product i.e 854764

Least Common Multiple of 97,8812 with GCF Formula

Least Common Multiple of 97,8812 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 97,8812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,8812) = 1

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

GCF(97,8812) x common factors =1 x 1 = 1

LCM(97,8812) = ( 97 × 8812 ) / 1

LCM(97,8812) = 854764 / 1

LCM(97,8812) = 854764


Lets's calculate GCF of 360,4508

2 360, 4508
2 180, 2254
90, 1127

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 854764/4

Therefore the LCM of Fractions 97/360,8812/4508 is 213691

Greatest Common Factor of 360,4508 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,4508 By Matching Biggest Common Factor Method

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

Factors of 4508

List of positive integer factors of 4508 that divides 4508 without a remainder.

1,2,4,7,14,23,28,46,49,92,98,161,196,322,644,1127,2254,4508

Greatest Common Factor

We found the factors 360,4508 . The biggest common factor number is the GCF number.
So the greatest common factor 360,4508 is 4.


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 97/360, 8812/4508

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 97/360, 8812/4508?

Answer: LCM of Numerators as per given numbers 97/360, 8812/4508 is

LCM of Numerators i.e. for 97,8812 is 854764

GCF of denominators i.e. for 360,4508 is 4.

Thus, LCM of Fractions is 213691.Finally, LCM of Fractions for 97/360, 8812/4508 is 213691.