Least Common Multiple of 84/19, 11/72, 38/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/19, 11/72, 38/693 quickly i.e. 17556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/19, 11/72, 38/693 is 17556.

LCM(84/19, 11/72, 38/693) = 17556

LCM of 84/19, 11/72, 38/693

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 84/19,11/72,38/693

Given numbers are 84/19,11/72,38/693

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 84,11,38

Least Common Multiple of Numerators i.e. LCM of 84,11,38 is 17556.

GCF of Denominators means GCF of 19,72,693 as per the given fractions.

GCF of 19,72,693 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,11,38

LCM of Fractions 84/19,11/72,38/693 is 17556

2 84, 11, 38
42, 11, 19

∴ So the LCM of the given numbers is 2 x 42 x 11 x 19 = 17556

Least Common Multiple of 84,11,38 with GCF Formula

Least Common Multiple of 84,11,38 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 84,11,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,11,38) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(84,11,38) x common factors =1 x 2 = 2

LCM(84,11,38) = ( 84 × 11 × 38 ) / 2

LCM(84,11,38) = 35112 / 2

LCM(84,11,38) = 17556


Lets's calculate GCF of 19,72,693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17556/1

Therefore the LCM of Fractions 84/19,11/72,38/693 is 17556

Greatest Common Factor of 19,72,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,72,693 By Matching Biggest Common Factor Method

Factors of 19

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

1,19

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 19,72,693 . The biggest common factor number is the GCF number.
So the greatest common factor 19,72,693 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 84/19, 11/72, 38/693

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 84/19, 11/72, 38/693?

Answer: LCM of Numerators as per given numbers 84/19, 11/72, 38/693 is

LCM of Numerators i.e. for 84,11,38 is 17556

GCF of denominators i.e. for 19,72,693 is 1.

Thus, LCM of Fractions is 17556.Finally, LCM of Fractions for 84/19, 11/72, 38/693 is 17556.