Least Common Multiple of 89/144, 99/563, 488/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/144, 99/563, 488/939 quickly i.e. 4299768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/144, 99/563, 488/939 is 4299768.

LCM(89/144, 99/563, 488/939) = 4299768

LCM of 89/144, 99/563, 488/939

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 89/144,99/563,488/939

Given numbers are 89/144,99/563,488/939

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 89,99,488

Least Common Multiple of Numerators i.e. LCM of 89,99,488 is 4299768.

GCF of Denominators means GCF of 144,563,939 as per the given fractions.

GCF of 144,563,939 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,99,488

LCM of Fractions 89/144,99/563,488/939 is 4299768

Given numbers has no common factors except 1. So, there LCM is their product i.e 4299768

Least Common Multiple of 89,99,488 with GCF Formula

Least Common Multiple of 89,99,488 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 89,99,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,99,488) = 1

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

GCF(89,99,488) x common factors =1 x 1 = 1

LCM(89,99,488) = ( 89 × 99 × 488 ) / 1

LCM(89,99,488) = 4299768 / 1

LCM(89,99,488) = 4299768


Lets's calculate GCF of 144,563,939

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4299768/1

Therefore the LCM of Fractions 89/144,99/563,488/939 is 4299768

Greatest Common Factor of 144,563,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,563,939 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 144,563,939 . The biggest common factor number is the GCF number.
So the greatest common factor 144,563,939 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 89/144, 99/563, 488/939

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 89/144, 99/563, 488/939?

Answer: LCM of Numerators as per given numbers 89/144, 99/563, 488/939 is

LCM of Numerators i.e. for 89,99,488 is 4299768

GCF of denominators i.e. for 144,563,939 is 1.

Thus, LCM of Fractions is 4299768.Finally, LCM of Fractions for 89/144, 99/563, 488/939 is 4299768.