Least Common Multiple of 89/228, 1212/8633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/228, 1212/8633 quickly i.e. 107868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/228, 1212/8633 is 107868.

LCM(89/228, 1212/8633) = 107868

LCM of 89/228, 1212/8633

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 89/228,1212/8633

Given numbers are 89/228,1212/8633

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 89,1212

Least Common Multiple of Numerators i.e. LCM of 89,1212 is 107868.

GCF of Denominators means GCF of 228,8633 as per the given fractions.

GCF of 228,8633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,1212

LCM of Fractions 89/228,1212/8633 is 107868

Given numbers has no common factors except 1. So, there LCM is their product i.e 107868

Least Common Multiple of 89,1212 with GCF Formula

Least Common Multiple of 89,1212 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 89,1212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,1212) = 1

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

GCF(89,1212) x common factors =1 x 1 = 1

LCM(89,1212) = ( 89 × 1212 ) / 1

LCM(89,1212) = 107868 / 1

LCM(89,1212) = 107868


Lets's calculate GCF of 228,8633

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107868/1

Therefore the LCM of Fractions 89/228,1212/8633 is 107868

Greatest Common Factor of 228,8633 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,8633 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 8633

List of positive integer factors of 8633 that divides 8633 without a remainder.

1,89,97,8633

Greatest Common Factor

We found the factors 228,8633 . The biggest common factor number is the GCF number.
So the greatest common factor 228,8633 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 89/228, 1212/8633

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 89/228, 1212/8633?

Answer: LCM of Numerators as per given numbers 89/228, 1212/8633 is

LCM of Numerators i.e. for 89,1212 is 107868

GCF of denominators i.e. for 228,8633 is 1.

Thus, LCM of Fractions is 107868.Finally, LCM of Fractions for 89/228, 1212/8633 is 107868.