Least Common Multiple of 36/45, 96/75, 65/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/45, 96/75, 65/705 quickly i.e. 1248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/45, 96/75, 65/705 is 1248.

LCM(36/45, 96/75, 65/705) = 1248

LCM of 36/45, 96/75, 65/705

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 36/45,96/75,65/705

Given numbers are 36/45,96/75,65/705

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 36,96,65

Least Common Multiple of Numerators i.e. LCM of 36,96,65 is 18720.

GCF of Denominators means GCF of 45,75,705 as per the given fractions.

GCF of 45,75,705 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,96,65

LCM of Fractions 36/45,96/75,65/705 is 1248

2 36, 96, 65
2 18, 48, 65
3 9, 24, 65
3, 8, 65

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 8 x 65 = 18720

Least Common Multiple of 36,96,65 with GCF Formula

Least Common Multiple of 36,96,65 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 36,96,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,96,65) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(36,96,65) x common factors =1 x 12 = 12

LCM(36,96,65) = ( 36 × 96 × 65 ) / 12

LCM(36,96,65) = 224640 / 12

LCM(36,96,65) = 18720


Lets's calculate GCF of 45,75,705

3 45, 75, 705
5 15, 25, 235
3, 5, 47

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18720/15

Therefore the LCM of Fractions 36/45,96/75,65/705 is 1248

Greatest Common Factor of 45,75,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,75,705 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 45,75,705 . The biggest common factor number is the GCF number.
So the greatest common factor 45,75,705 is 15.


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 36/45, 96/75, 65/705

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 36/45, 96/75, 65/705?

Answer: LCM of Numerators as per given numbers 36/45, 96/75, 65/705 is

LCM of Numerators i.e. for 36,96,65 is 18720

GCF of denominators i.e. for 45,75,705 is 15.

Thus, LCM of Fractions is 1248.Finally, LCM of Fractions for 36/45, 96/75, 65/705 is 1248.