Least Common Multiple of 36/705, 235/76, 192/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/705, 235/76, 192/336 quickly i.e. 135360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/705, 235/76, 192/336 is 135360.

LCM(36/705, 235/76, 192/336) = 135360

LCM of 36/705, 235/76, 192/336

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 36/705,235/76,192/336

Given numbers are 36/705,235/76,192/336

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 36,235,192

Least Common Multiple of Numerators i.e. LCM of 36,235,192 is 135360.

GCF of Denominators means GCF of 705,76,336 as per the given fractions.

GCF of 705,76,336 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,235,192

LCM of Fractions 36/705,235/76,192/336 is 135360

2 36, 235, 192
2 18, 235, 96
3 9, 235, 48
3, 235, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 235 x 16 = 135360

Least Common Multiple of 36,235,192 with GCF Formula

Least Common Multiple of 36,235,192 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 36,235,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,235,192) = 1

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

GCF(36,235,192) x common factors =1 x 12 = 12

LCM(36,235,192) = ( 36 × 235 × 192 ) / 12

LCM(36,235,192) = 1624320 / 12

LCM(36,235,192) = 135360


Lets's calculate GCF of 705,76,336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135360/1

Therefore the LCM of Fractions 36/705,235/76,192/336 is 135360

Greatest Common Factor of 705,76,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,76,336 By Matching Biggest Common Factor Method

Factors of 705

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

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

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

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 705,76,336 . The biggest common factor number is the GCF number.
So the greatest common factor 705,76,336 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 36/705, 235/76, 192/336

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 36/705, 235/76, 192/336?

Answer: LCM of Numerators as per given numbers 36/705, 235/76, 192/336 is

LCM of Numerators i.e. for 36,235,192 is 135360

GCF of denominators i.e. for 705,76,336 is 1.

Thus, LCM of Fractions is 135360.Finally, LCM of Fractions for 36/705, 235/76, 192/336 is 135360.