Least Common Multiple of 5285/288, 9025/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5285/288, 9025/939 quickly i.e. 9539425/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5285/288, 9025/939 is 9539425/3.

LCM(5285/288, 9025/939) = 9539425/3

LCM of 5285/288, 9025/939

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 5285/288,9025/939

Given numbers are 5285/288,9025/939

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 5285,9025

Least Common Multiple of Numerators i.e. LCM of 5285,9025 is 9539425.

GCF of Denominators means GCF of 288,939 as per the given fractions.

GCF of 288,939 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5285,9025

LCM of Fractions 5285/288,9025/939 is 9539425/3

5 5285, 9025
1057, 1805

∴ So the LCM of the given numbers is 5 x 1057 x 1805 = 9539425

Least Common Multiple of 5285,9025 with GCF Formula

Least Common Multiple of 5285,9025 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 5285,9025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5285,9025) = 5

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

GCF(5285,9025) x common factors =5 x 1 = 5

LCM(5285,9025) = ( 5285 × 9025 ) / 5

LCM(5285,9025) = 47697125 / 5

LCM(5285,9025) = 9539425


Lets's calculate GCF of 288,939

3 288, 939
96, 313

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9539425/3

Therefore the LCM of Fractions 5285/288,9025/939 is 9539425/3

Greatest Common Factor of 288,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,939 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 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 288,939 . The biggest common factor number is the GCF number.
So the greatest common factor 288,939 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5285/288, 9025/939

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 5285/288, 9025/939?

Answer: LCM of Numerators as per given numbers 5285/288, 9025/939 is

LCM of Numerators i.e. for 5285,9025 is 9539425

GCF of denominators i.e. for 288,939 is 3.

Thus, LCM of Fractions is 9539425/3.Finally, LCM of Fractions for 5285/288, 9025/939 is 9539425/3.