Least Common Multiple of 55/288, 28/638, 939/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/288, 28/638, 939/958 quickly i.e. 723030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/288, 28/638, 939/958 is 723030.

LCM(55/288, 28/638, 939/958) = 723030

LCM of 55/288, 28/638, 939/958

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 55/288,28/638,939/958

Given numbers are 55/288,28/638,939/958

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 55,28,939

Least Common Multiple of Numerators i.e. LCM of 55,28,939 is 1446060.

GCF of Denominators means GCF of 288,638,958 as per the given fractions.

GCF of 288,638,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,28,939

LCM of Fractions 55/288,28/638,939/958 is 723030

Given numbers has no common factors except 1. So, there LCM is their product i.e 1446060

Least Common Multiple of 55,28,939 with GCF Formula

Least Common Multiple of 55,28,939 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 55,28,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,28,939) = 1

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

GCF(55,28,939) x common factors =1 x 1 = 1

LCM(55,28,939) = ( 55 × 28 × 939 ) / 1

LCM(55,28,939) = 1446060 / 1

LCM(55,28,939) = 1446060


Lets's calculate GCF of 288,638,958

2 288, 638, 958
144, 319, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1446060/2

Therefore the LCM of Fractions 55/288,28/638,939/958 is 723030

Greatest Common Factor of 288,638,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,638,958 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 288,638,958 . The biggest common factor number is the GCF number.
So the greatest common factor 288,638,958 is 2.


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 55/288, 28/638, 939/958

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 55/288, 28/638, 939/958?

Answer: LCM of Numerators as per given numbers 55/288, 28/638, 939/958 is

LCM of Numerators i.e. for 55,28,939 is 1446060

GCF of denominators i.e. for 288,638,958 is 2.

Thus, LCM of Fractions is 723030.Finally, LCM of Fractions for 55/288, 28/638, 939/958 is 723030.