Least Common Multiple of 396/216, 594/816, 148/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 396/216, 594/816, 148/796 quickly i.e. 10989 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 396/216, 594/816, 148/796 is 10989.

LCM(396/216, 594/816, 148/796) = 10989

LCM of 396/216, 594/816, 148/796

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 396/216,594/816,148/796

Given numbers are 396/216,594/816,148/796

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 396,594,148

Least Common Multiple of Numerators i.e. LCM of 396,594,148 is 43956.

GCF of Denominators means GCF of 216,816,796 as per the given fractions.

GCF of 216,816,796 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 396,594,148

LCM of Fractions 396/216,594/816,148/796 is 10989

2 396, 594, 148
2 198, 297, 74
3 99, 297, 37
3 33, 99, 37
11 11, 33, 37
1, 3, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 1 x 3 x 37 = 43956

Least Common Multiple of 396,594,148 with GCF Formula

Least Common Multiple of 396,594,148 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 396,594,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,594,148) = 2

common factors(in case of two or more numbers have common factors) = 396

GCF(396,594,148) x common factors =2 x 396 = 792

LCM(396,594,148) = ( 396 × 594 × 148 ) / 792

LCM(396,594,148) = 34813152 / 792

LCM(396,594,148) = 43956


Lets's calculate GCF of 216,816,796

2 216, 816, 796
2 108, 408, 398
54, 204, 199

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43956/4

Therefore the LCM of Fractions 396/216,594/816,148/796 is 10989

Greatest Common Factor of 216,816,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,816,796 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 216,816,796 . The biggest common factor number is the GCF number.
So the greatest common factor 216,816,796 is 4.


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 396/216, 594/816, 148/796

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 396/216, 594/816, 148/796?

Answer: LCM of Numerators as per given numbers 396/216, 594/816, 148/796 is

LCM of Numerators i.e. for 396,594,148 is 43956

GCF of denominators i.e. for 216,816,796 is 4.

Thus, LCM of Fractions is 10989.Finally, LCM of Fractions for 396/216, 594/816, 148/796 is 10989.