Least Common Multiple of 36/111, 82/259, 735/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/111, 82/259, 735/575 quickly i.e. 361620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/111, 82/259, 735/575 is 361620.

LCM(36/111, 82/259, 735/575) = 361620

LCM of 36/111, 82/259, 735/575

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 36/111,82/259,735/575

Given numbers are 36/111,82/259,735/575

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 36,82,735

Least Common Multiple of Numerators i.e. LCM of 36,82,735 is 361620.

GCF of Denominators means GCF of 111,259,575 as per the given fractions.

GCF of 111,259,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,82,735

LCM of Fractions 36/111,82/259,735/575 is 361620

2 36, 82, 735
3 18, 41, 735
6, 41, 245

∴ So the LCM of the given numbers is 2 x 3 x 6 x 41 x 245 = 361620

Least Common Multiple of 36,82,735 with GCF Formula

Least Common Multiple of 36,82,735 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 36,82,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,82,735) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(36,82,735) x common factors =1 x 6 = 6

LCM(36,82,735) = ( 36 × 82 × 735 ) / 6

LCM(36,82,735) = 2169720 / 6

LCM(36,82,735) = 361620


Lets's calculate GCF of 111,259,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361620/1

Therefore the LCM of Fractions 36/111,82/259,735/575 is 361620

Greatest Common Factor of 111,259,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,259,575 By Matching Biggest Common Factor Method

Factors of 111

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

1,3,37,111

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 111,259,575 . The biggest common factor number is the GCF number.
So the greatest common factor 111,259,575 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 36/111, 82/259, 735/575

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 36/111, 82/259, 735/575?

Answer: LCM of Numerators as per given numbers 36/111, 82/259, 735/575 is

LCM of Numerators i.e. for 36,82,735 is 361620

GCF of denominators i.e. for 111,259,575 is 1.

Thus, LCM of Fractions is 361620.Finally, LCM of Fractions for 36/111, 82/259, 735/575 is 361620.