Least Common Multiple of 89/228, 5984/9920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/228, 5984/9920 quickly i.e. 133144 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, 5984/9920 is 133144.

LCM(89/228, 5984/9920) = 133144

LCM of 89/228, 5984/9920

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 89/228,5984/9920

Given numbers are 89/228,5984/9920

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 89,5984

Least Common Multiple of Numerators i.e. LCM of 89,5984 is 532576.

GCF of Denominators means GCF of 228,9920 as per the given fractions.

GCF of 228,9920 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,5984

LCM of Fractions 89/228,5984/9920 is 133144

Given numbers has no common factors except 1. So, there LCM is their product i.e 532576

Least Common Multiple of 89,5984 with GCF Formula

Least Common Multiple of 89,5984 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 89,5984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,5984) = 1

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

GCF(89,5984) x common factors =1 x 1 = 1

LCM(89,5984) = ( 89 × 5984 ) / 1

LCM(89,5984) = 532576 / 1

LCM(89,5984) = 532576


Lets's calculate GCF of 228,9920

2 228, 9920
2 114, 4960
57, 2480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 532576/4

Therefore the LCM of Fractions 89/228,5984/9920 is 133144

Greatest Common Factor of 228,9920 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,9920 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 9920

List of positive integer factors of 9920 that divides 9920 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920

Greatest Common Factor

We found the factors 228,9920 . The biggest common factor number is the GCF number.
So the greatest common factor 228,9920 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 89/228, 5984/9920

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, 5984/9920?

Answer: LCM of Numerators as per given numbers 89/228, 5984/9920 is

LCM of Numerators i.e. for 89,5984 is 532576

GCF of denominators i.e. for 228,9920 is 4.

Thus, LCM of Fractions is 133144.Finally, LCM of Fractions for 89/228, 5984/9920 is 133144.