Least Common Multiple of 180/65, 765/94, 795/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 180/65, 765/94, 795/111 quickly i.e. 162180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 180/65, 765/94, 795/111 is 162180.

LCM(180/65, 765/94, 795/111) = 162180

LCM of 180/65, 765/94, 795/111

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 180/65,765/94,795/111

Given numbers are 180/65,765/94,795/111

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 180,765,795

Least Common Multiple of Numerators i.e. LCM of 180,765,795 is 162180.

GCF of Denominators means GCF of 65,94,111 as per the given fractions.

GCF of 65,94,111 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 180,765,795

LCM of Fractions 180/65,765/94,795/111 is 162180

3 180, 765, 795
3 60, 255, 265
5 20, 85, 265
4, 17, 53

∴ So the LCM of the given numbers is 3 x 3 x 5 x 4 x 17 x 53 = 162180

Least Common Multiple of 180,765,795 with GCF Formula

Least Common Multiple of 180,765,795 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 180,765,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,765,795) = 15

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

GCF(180,765,795) x common factors =15 x 45 = 675

LCM(180,765,795) = ( 180 × 765 × 795 ) / 675

LCM(180,765,795) = 109471500 / 675

LCM(180,765,795) = 162180


Lets's calculate GCF of 65,94,111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162180/1

Therefore the LCM of Fractions 180/65,765/94,795/111 is 162180

Greatest Common Factor of 65,94,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,94,111 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 65,94,111 . The biggest common factor number is the GCF number.
So the greatest common factor 65,94,111 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 180/65, 765/94, 795/111

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 180/65, 765/94, 795/111?

Answer: LCM of Numerators as per given numbers 180/65, 765/94, 795/111 is

LCM of Numerators i.e. for 180,765,795 is 162180

GCF of denominators i.e. for 65,94,111 is 1.

Thus, LCM of Fractions is 162180.Finally, LCM of Fractions for 180/65, 765/94, 795/111 is 162180.