Least Common Multiple of 392/69, 376/60, 249/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 392/69, 376/60, 249/81 quickly i.e. 1529192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 392/69, 376/60, 249/81 is 1529192.

LCM(392/69, 376/60, 249/81) = 1529192

LCM of 392/69, 376/60, 249/81

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 392/69,376/60,249/81

Given numbers are 392/69,376/60,249/81

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 392,376,249

Least Common Multiple of Numerators i.e. LCM of 392,376,249 is 4587576.

GCF of Denominators means GCF of 69,60,81 as per the given fractions.

GCF of 69,60,81 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 392,376,249

LCM of Fractions 392/69,376/60,249/81 is 1529192

2 392, 376, 249
2 196, 188, 249
2 98, 94, 249
49, 47, 249

∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 47 x 249 = 4587576

Least Common Multiple of 392,376,249 with GCF Formula

Least Common Multiple of 392,376,249 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 392,376,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,376,249) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(392,376,249) x common factors =1 x 8 = 8

LCM(392,376,249) = ( 392 × 376 × 249 ) / 8

LCM(392,376,249) = 36700608 / 8

LCM(392,376,249) = 4587576


Lets's calculate GCF of 69,60,81

3 69, 60, 81
23, 20, 27

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4587576/3

Therefore the LCM of Fractions 392/69,376/60,249/81 is 1529192

Greatest Common Factor of 69,60,81 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,60,81 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 81

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

1,3,9,27,81

Greatest Common Factor

We found the factors 69,60,81 . The biggest common factor number is the GCF number.
So the greatest common factor 69,60,81 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 392/69, 376/60, 249/81

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 392/69, 376/60, 249/81?

Answer: LCM of Numerators as per given numbers 392/69, 376/60, 249/81 is

LCM of Numerators i.e. for 392,376,249 is 4587576

GCF of denominators i.e. for 69,60,81 is 3.

Thus, LCM of Fractions is 1529192.Finally, LCM of Fractions for 392/69, 376/60, 249/81 is 1529192.