Least Common Multiple of 45/17, 995/90, 360/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/17, 995/90, 360/494 quickly i.e. 71640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/17, 995/90, 360/494 is 71640.

LCM(45/17, 995/90, 360/494) = 71640

LCM of 45/17, 995/90, 360/494

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 45/17,995/90,360/494

Given numbers are 45/17,995/90,360/494

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 45,995,360

Least Common Multiple of Numerators i.e. LCM of 45,995,360 is 71640.

GCF of Denominators means GCF of 17,90,494 as per the given fractions.

GCF of 17,90,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,995,360

LCM of Fractions 45/17,995/90,360/494 is 71640

3 45, 995, 360
3 15, 995, 120
5 5, 995, 40
1, 199, 8

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 199 x 8 = 71640

Least Common Multiple of 45,995,360 with GCF Formula

Least Common Multiple of 45,995,360 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 45,995,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,995,360) = 5

common factors(in case of two or more numbers have common factors) = 45

GCF(45,995,360) x common factors =5 x 45 = 225

LCM(45,995,360) = ( 45 × 995 × 360 ) / 225

LCM(45,995,360) = 16119000 / 225

LCM(45,995,360) = 71640


Lets's calculate GCF of 17,90,494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71640/1

Therefore the LCM of Fractions 45/17,995/90,360/494 is 71640

Greatest Common Factor of 17,90,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,90,494 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 17,90,494 . The biggest common factor number is the GCF number.
So the greatest common factor 17,90,494 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 45/17, 995/90, 360/494

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 45/17, 995/90, 360/494?

Answer: LCM of Numerators as per given numbers 45/17, 995/90, 360/494 is

LCM of Numerators i.e. for 45,995,360 is 71640

GCF of denominators i.e. for 17,90,494 is 1.

Thus, LCM of Fractions is 71640.Finally, LCM of Fractions for 45/17, 995/90, 360/494 is 71640.