Least Common Multiple of 36/14, 76/19, 160/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/14, 76/19, 160/394 quickly i.e. 27360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/14, 76/19, 160/394 is 27360.

LCM(36/14, 76/19, 160/394) = 27360

LCM of 36/14, 76/19, 160/394

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 36/14,76/19,160/394

Given numbers are 36/14,76/19,160/394

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 36,76,160

Least Common Multiple of Numerators i.e. LCM of 36,76,160 is 27360.

GCF of Denominators means GCF of 14,19,394 as per the given fractions.

GCF of 14,19,394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,76,160

LCM of Fractions 36/14,76/19,160/394 is 27360

2 36, 76, 160
2 18, 38, 80
9, 19, 40

∴ So the LCM of the given numbers is 2 x 2 x 9 x 19 x 40 = 27360

Least Common Multiple of 36,76,160 with GCF Formula

Least Common Multiple of 36,76,160 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 36,76,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,76,160) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(36,76,160) x common factors =4 x 4 = 16

LCM(36,76,160) = ( 36 × 76 × 160 ) / 16

LCM(36,76,160) = 437760 / 16

LCM(36,76,160) = 27360


Lets's calculate GCF of 14,19,394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27360/1

Therefore the LCM of Fractions 36/14,76/19,160/394 is 27360

Greatest Common Factor of 14,19,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,19,394 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 14,19,394 . The biggest common factor number is the GCF number.
So the greatest common factor 14,19,394 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 36/14, 76/19, 160/394

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 36/14, 76/19, 160/394?

Answer: LCM of Numerators as per given numbers 36/14, 76/19, 160/394 is

LCM of Numerators i.e. for 36,76,160 is 27360

GCF of denominators i.e. for 14,19,394 is 1.

Thus, LCM of Fractions is 27360.Finally, LCM of Fractions for 36/14, 76/19, 160/394 is 27360.