Least Common Multiple of 3195/560, 3621/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3195/560, 3621/360 quickly i.e. 54315/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3195/560, 3621/360 is 54315/40.

LCM(3195/560, 3621/360) = 54315/40

LCM of 3195/560, 3621/360

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 3195/560,3621/360

Given numbers are 3195/560,3621/360

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 3195,3621

Least Common Multiple of Numerators i.e. LCM of 3195,3621 is 54315.

GCF of Denominators means GCF of 560,360 as per the given fractions.

GCF of 560,360 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3195,3621

LCM of Fractions 3195/560,3621/360 is 54315/40

3 3195, 3621
71 1065, 1207
15, 17

∴ So the LCM of the given numbers is 3 x 71 x 15 x 17 = 54315

Least Common Multiple of 3195,3621 with GCF Formula

Least Common Multiple of 3195,3621 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 3195,3621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3195,3621) = 213

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

GCF(3195,3621) x common factors =213 x 1 = 213

LCM(3195,3621) = ( 3195 × 3621 ) / 213

LCM(3195,3621) = 11569095 / 213

LCM(3195,3621) = 54315


Lets's calculate GCF of 560,360

2 560, 360
2 280, 180
2 140, 90
5 70, 45
14, 9

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54315/40

Therefore the LCM of Fractions 3195/560,3621/360 is 54315/40

Greatest Common Factor of 560,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,360 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 560,360 . The biggest common factor number is the GCF number.
So the greatest common factor 560,360 is 40.


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 3195/560, 3621/360

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 3195/560, 3621/360?

Answer: LCM of Numerators as per given numbers 3195/560, 3621/360 is

LCM of Numerators i.e. for 3195,3621 is 54315

GCF of denominators i.e. for 560,360 is 40.

Thus, LCM of Fractions is 54315/40.Finally, LCM of Fractions for 3195/560, 3621/360 is 54315/40.