Least Common Multiple of 35/360, 5964/1443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/360, 5964/1443 quickly i.e. 9940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/360, 5964/1443 is 9940.

LCM(35/360, 5964/1443) = 9940

LCM of 35/360, 5964/1443

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 35/360,5964/1443

Given numbers are 35/360,5964/1443

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 35,5964

Least Common Multiple of Numerators i.e. LCM of 35,5964 is 29820.

GCF of Denominators means GCF of 360,1443 as per the given fractions.

GCF of 360,1443 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,5964

LCM of Fractions 35/360,5964/1443 is 9940

7 35, 5964
5, 852

∴ So the LCM of the given numbers is 7 x 5 x 852 = 29820

Least Common Multiple of 35,5964 with GCF Formula

Least Common Multiple of 35,5964 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 35,5964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,5964) = 7

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

GCF(35,5964) x common factors =7 x 1 = 7

LCM(35,5964) = ( 35 × 5964 ) / 7

LCM(35,5964) = 208740 / 7

LCM(35,5964) = 29820


Lets's calculate GCF of 360,1443

3 360, 1443
120, 481

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29820/3

Therefore the LCM of Fractions 35/360,5964/1443 is 9940

Greatest Common Factor of 360,1443 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,1443 By Matching Biggest Common Factor Method

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

Factors of 1443

List of positive integer factors of 1443 that divides 1443 without a remainder.

1,3,13,37,39,111,481,1443

Greatest Common Factor

We found the factors 360,1443 . The biggest common factor number is the GCF number.
So the greatest common factor 360,1443 is 3.


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 35/360, 5964/1443

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 35/360, 5964/1443?

Answer: LCM of Numerators as per given numbers 35/360, 5964/1443 is

LCM of Numerators i.e. for 35,5964 is 29820

GCF of denominators i.e. for 360,1443 is 3.

Thus, LCM of Fractions is 9940.Finally, LCM of Fractions for 35/360, 5964/1443 is 9940.