Least Common Multiple of 9/42, 82/590, 55/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/42, 82/590, 55/845 quickly i.e. 40590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/42, 82/590, 55/845 is 40590.

LCM(9/42, 82/590, 55/845) = 40590

LCM of 9/42, 82/590, 55/845

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 9/42,82/590,55/845

Given numbers are 9/42,82/590,55/845

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 9,82,55

Least Common Multiple of Numerators i.e. LCM of 9,82,55 is 40590.

GCF of Denominators means GCF of 42,590,845 as per the given fractions.

GCF of 42,590,845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,82,55

LCM of Fractions 9/42,82/590,55/845 is 40590

Given numbers has no common factors except 1. So, there LCM is their product i.e 40590

Least Common Multiple of 9,82,55 with GCF Formula

Least Common Multiple of 9,82,55 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 9,82,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,82,55) = 1

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

GCF(9,82,55) x common factors =1 x 1 = 1

LCM(9,82,55) = ( 9 × 82 × 55 ) / 1

LCM(9,82,55) = 40590 / 1

LCM(9,82,55) = 40590


Lets's calculate GCF of 42,590,845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40590/1

Therefore the LCM of Fractions 9/42,82/590,55/845 is 40590

Greatest Common Factor of 42,590,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,590,845 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 42,590,845 . The biggest common factor number is the GCF number.
So the greatest common factor 42,590,845 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 9/42, 82/590, 55/845

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 9/42, 82/590, 55/845?

Answer: LCM of Numerators as per given numbers 9/42, 82/590, 55/845 is

LCM of Numerators i.e. for 9,82,55 is 40590

GCF of denominators i.e. for 42,590,845 is 1.

Thus, LCM of Fractions is 40590.Finally, LCM of Fractions for 9/42, 82/590, 55/845 is 40590.