Least Common Multiple of 45/590, 7118/8546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/590, 7118/8546 quickly i.e. 160155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/590, 7118/8546 is 160155.

LCM(45/590, 7118/8546) = 160155

LCM of 45/590, 7118/8546

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 45/590,7118/8546

Given numbers are 45/590,7118/8546

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 45,7118

Least Common Multiple of Numerators i.e. LCM of 45,7118 is 320310.

GCF of Denominators means GCF of 590,8546 as per the given fractions.

GCF of 590,8546 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,7118

LCM of Fractions 45/590,7118/8546 is 160155

Given numbers has no common factors except 1. So, there LCM is their product i.e 320310

Least Common Multiple of 45,7118 with GCF Formula

Least Common Multiple of 45,7118 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 45,7118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,7118) = 1

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

GCF(45,7118) x common factors =1 x 1 = 1

LCM(45,7118) = ( 45 × 7118 ) / 1

LCM(45,7118) = 320310 / 1

LCM(45,7118) = 320310


Lets's calculate GCF of 590,8546

2 590, 8546
295, 4273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320310/2

Therefore the LCM of Fractions 45/590,7118/8546 is 160155

Greatest Common Factor of 590,8546 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,8546 By Matching Biggest Common Factor Method

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 8546

List of positive integer factors of 8546 that divides 8546 without a remainder.

1,2,4273,8546

Greatest Common Factor

We found the factors 590,8546 . The biggest common factor number is the GCF number.
So the greatest common factor 590,8546 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 45/590, 7118/8546

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 45/590, 7118/8546?

Answer: LCM of Numerators as per given numbers 45/590, 7118/8546 is

LCM of Numerators i.e. for 45,7118 is 320310

GCF of denominators i.e. for 590,8546 is 2.

Thus, LCM of Fractions is 160155.Finally, LCM of Fractions for 45/590, 7118/8546 is 160155.