Least Common Multiple of 362/36, 360/2589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/36, 360/2589 quickly i.e. 21720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/36, 360/2589 is 21720.

LCM(362/36, 360/2589) = 21720

LCM of 362/36, 360/2589

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 362/36,360/2589

Given numbers are 362/36,360/2589

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 362,360

Least Common Multiple of Numerators i.e. LCM of 362,360 is 65160.

GCF of Denominators means GCF of 36,2589 as per the given fractions.

GCF of 36,2589 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,360

LCM of Fractions 362/36,360/2589 is 21720

2 362, 360
181, 180

∴ So the LCM of the given numbers is 2 x 181 x 180 = 65160

Least Common Multiple of 362,360 with GCF Formula

Least Common Multiple of 362,360 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 362,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,360) = 2

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

GCF(362,360) x common factors =2 x 1 = 2

LCM(362,360) = ( 362 × 360 ) / 2

LCM(362,360) = 130320 / 2

LCM(362,360) = 65160


Lets's calculate GCF of 36,2589

3 36, 2589
12, 863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65160/3

Therefore the LCM of Fractions 362/36,360/2589 is 21720

Greatest Common Factor of 36,2589 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,2589 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 2589

List of positive integer factors of 2589 that divides 2589 without a remainder.

1,3,863,2589

Greatest Common Factor

We found the factors 36,2589 . The biggest common factor number is the GCF number.
So the greatest common factor 36,2589 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 362/36, 360/2589

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 362/36, 360/2589?

Answer: LCM of Numerators as per given numbers 362/36, 360/2589 is

LCM of Numerators i.e. for 362,360 is 65160

GCF of denominators i.e. for 36,2589 is 3.

Thus, LCM of Fractions is 21720.Finally, LCM of Fractions for 362/36, 360/2589 is 21720.