Least Common Multiple of 45/792, 3659/4586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/792, 3659/4586 quickly i.e. 164655/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/792, 3659/4586 is 164655/2.

LCM(45/792, 3659/4586) = 164655/2

LCM of 45/792, 3659/4586

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 45/792,3659/4586

Given numbers are 45/792,3659/4586

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 45,3659

Least Common Multiple of Numerators i.e. LCM of 45,3659 is 164655.

GCF of Denominators means GCF of 792,4586 as per the given fractions.

GCF of 792,4586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,3659

LCM of Fractions 45/792,3659/4586 is 164655/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 164655

Least Common Multiple of 45,3659 with GCF Formula

Least Common Multiple of 45,3659 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 45,3659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,3659) = 1

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

GCF(45,3659) x common factors =1 x 1 = 1

LCM(45,3659) = ( 45 × 3659 ) / 1

LCM(45,3659) = 164655 / 1

LCM(45,3659) = 164655


Lets's calculate GCF of 792,4586

2 792, 4586
396, 2293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164655/2

Therefore the LCM of Fractions 45/792,3659/4586 is 164655/2

Greatest Common Factor of 792,4586 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,4586 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 4586

List of positive integer factors of 4586 that divides 4586 without a remainder.

1,2,2293,4586

Greatest Common Factor

We found the factors 792,4586 . The biggest common factor number is the GCF number.
So the greatest common factor 792,4586 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 45/792, 3659/4586

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 45/792, 3659/4586?

Answer: LCM of Numerators as per given numbers 45/792, 3659/4586 is

LCM of Numerators i.e. for 45,3659 is 164655

GCF of denominators i.e. for 792,4586 is 2.

Thus, LCM of Fractions is 164655/2.Finally, LCM of Fractions for 45/792, 3659/4586 is 164655/2.