Least Common Multiple of 399/84, 728/72, 741/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 399/84, 728/72, 741/162 quickly i.e. 6916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 399/84, 728/72, 741/162 is 6916.

LCM(399/84, 728/72, 741/162) = 6916

LCM of 399/84, 728/72, 741/162

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 399/84,728/72,741/162

Given numbers are 399/84,728/72,741/162

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 399,728,741

Least Common Multiple of Numerators i.e. LCM of 399,728,741 is 41496.

GCF of Denominators means GCF of 84,72,162 as per the given fractions.

GCF of 84,72,162 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 399,728,741

LCM of Fractions 399/84,728/72,741/162 is 6916

3 399, 728, 741
7 133, 728, 247
13 19, 104, 247
19 19, 8, 19
1, 8, 1

∴ So the LCM of the given numbers is 3 x 7 x 13 x 19 x 1 x 8 x 1 = 41496

Least Common Multiple of 399,728,741 with GCF Formula

Least Common Multiple of 399,728,741 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 399,728,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,728,741) = 1

common factors(in case of two or more numbers have common factors) = 5187

GCF(399,728,741) x common factors =1 x 5187 = 5187

LCM(399,728,741) = ( 399 × 728 × 741 ) / 5187

LCM(399,728,741) = 215239752 / 5187

LCM(399,728,741) = 41496


Lets's calculate GCF of 84,72,162

2 84, 72, 162
3 42, 36, 81
14, 12, 27

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41496/6

Therefore the LCM of Fractions 399/84,728/72,741/162 is 6916

Greatest Common Factor of 84,72,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,72,162 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 84,72,162 . The biggest common factor number is the GCF number.
So the greatest common factor 84,72,162 is 6.


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 399/84, 728/72, 741/162

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 399/84, 728/72, 741/162?

Answer: LCM of Numerators as per given numbers 399/84, 728/72, 741/162 is

LCM of Numerators i.e. for 399,728,741 is 41496

GCF of denominators i.e. for 84,72,162 is 6.

Thus, LCM of Fractions is 6916.Finally, LCM of Fractions for 399/84, 728/72, 741/162 is 6916.