Least Common Multiple of 44/796, 72/447, 324/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/796, 72/447, 324/206 quickly i.e. 7128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/796, 72/447, 324/206 is 7128.

LCM(44/796, 72/447, 324/206) = 7128

LCM of 44/796, 72/447, 324/206

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 44/796,72/447,324/206

Given numbers are 44/796,72/447,324/206

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 44,72,324

Least Common Multiple of Numerators i.e. LCM of 44,72,324 is 7128.

GCF of Denominators means GCF of 796,447,206 as per the given fractions.

GCF of 796,447,206 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,72,324

LCM of Fractions 44/796,72/447,324/206 is 7128

2 44, 72, 324
2 22, 36, 162
3 11, 18, 81
3 11, 6, 27
11, 2, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 2 x 9 = 7128

Least Common Multiple of 44,72,324 with GCF Formula

Least Common Multiple of 44,72,324 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 44,72,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,72,324) = 4

common factors(in case of two or more numbers have common factors) = 36

GCF(44,72,324) x common factors =4 x 36 = 144

LCM(44,72,324) = ( 44 × 72 × 324 ) / 144

LCM(44,72,324) = 1026432 / 144

LCM(44,72,324) = 7128


Lets's calculate GCF of 796,447,206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7128/1

Therefore the LCM of Fractions 44/796,72/447,324/206 is 7128

Greatest Common Factor of 796,447,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,447,206 By Matching Biggest Common Factor Method

Factors of 796

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

1,2,4,199,398,796

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 796,447,206 . The biggest common factor number is the GCF number.
So the greatest common factor 796,447,206 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 44/796, 72/447, 324/206

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 44/796, 72/447, 324/206?

Answer: LCM of Numerators as per given numbers 44/796, 72/447, 324/206 is

LCM of Numerators i.e. for 44,72,324 is 7128

GCF of denominators i.e. for 796,447,206 is 1.

Thus, LCM of Fractions is 7128.Finally, LCM of Fractions for 44/796, 72/447, 324/206 is 7128.