Least Common Multiple of 275/81, 111/63, 435/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 275/81, 111/63, 435/336 quickly i.e. 295075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 275/81, 111/63, 435/336 is 295075.

LCM(275/81, 111/63, 435/336) = 295075

LCM of 275/81, 111/63, 435/336

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 275/81,111/63,435/336

Given numbers are 275/81,111/63,435/336

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 275,111,435

Least Common Multiple of Numerators i.e. LCM of 275,111,435 is 885225.

GCF of Denominators means GCF of 81,63,336 as per the given fractions.

GCF of 81,63,336 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 275,111,435

LCM of Fractions 275/81,111/63,435/336 is 295075

3 275, 111, 435
5 275, 37, 145
55, 37, 29

∴ So the LCM of the given numbers is 3 x 5 x 55 x 37 x 29 = 885225

Least Common Multiple of 275,111,435 with GCF Formula

Least Common Multiple of 275,111,435 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 275,111,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,111,435) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(275,111,435) x common factors =1 x 15 = 15

LCM(275,111,435) = ( 275 × 111 × 435 ) / 15

LCM(275,111,435) = 13278375 / 15

LCM(275,111,435) = 885225


Lets's calculate GCF of 81,63,336

3 81, 63, 336
27, 21, 112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 885225/3

Therefore the LCM of Fractions 275/81,111/63,435/336 is 295075

Greatest Common Factor of 81,63,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,63,336 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 81,63,336 . The biggest common factor number is the GCF number.
So the greatest common factor 81,63,336 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 275/81, 111/63, 435/336

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 275/81, 111/63, 435/336?

Answer: LCM of Numerators as per given numbers 275/81, 111/63, 435/336 is

LCM of Numerators i.e. for 275,111,435 is 885225

GCF of denominators i.e. for 81,63,336 is 3.

Thus, LCM of Fractions is 295075.Finally, LCM of Fractions for 275/81, 111/63, 435/336 is 295075.