Least Common Multiple of 388/36, 216/21, 769/27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 388/36, 216/21, 769/27 quickly i.e. 5370696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 388/36, 216/21, 769/27 is 5370696.

LCM(388/36, 216/21, 769/27) = 5370696

LCM of 388/36, 216/21, 769/27

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 388/36,216/21,769/27

Given numbers are 388/36,216/21,769/27

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 388,216,769

Least Common Multiple of Numerators i.e. LCM of 388,216,769 is 16112088.

GCF of Denominators means GCF of 36,21,27 as per the given fractions.

GCF of 36,21,27 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 388,216,769

LCM of Fractions 388/36,216/21,769/27 is 5370696

2 388, 216, 769
2 194, 108, 769
97, 54, 769

∴ So the LCM of the given numbers is 2 x 2 x 97 x 54 x 769 = 16112088

Least Common Multiple of 388,216,769 with GCF Formula

Least Common Multiple of 388,216,769 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 388,216,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,216,769) = 1

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

GCF(388,216,769) x common factors =1 x 4 = 4

LCM(388,216,769) = ( 388 × 216 × 769 ) / 4

LCM(388,216,769) = 64448352 / 4

LCM(388,216,769) = 16112088


Lets's calculate GCF of 36,21,27

3 36, 21, 27
12, 7, 9

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16112088/3

Therefore the LCM of Fractions 388/36,216/21,769/27 is 5370696

Greatest Common Factor of 36,21,27 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,21,27 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Greatest Common Factor

We found the factors 36,21,27 . The biggest common factor number is the GCF number.
So the greatest common factor 36,21,27 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 388/36, 216/21, 769/27

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 388/36, 216/21, 769/27?

Answer: LCM of Numerators as per given numbers 388/36, 216/21, 769/27 is

LCM of Numerators i.e. for 388,216,769 is 16112088

GCF of denominators i.e. for 36,21,27 is 3.

Thus, LCM of Fractions is 5370696.Finally, LCM of Fractions for 388/36, 216/21, 769/27 is 5370696.