Least Common Multiple of 71/52, 992/64, 446/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/52, 992/64, 446/324 quickly i.e. 3926584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/52, 992/64, 446/324 is 3926584.

LCM(71/52, 992/64, 446/324) = 3926584

LCM of 71/52, 992/64, 446/324

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 71/52,992/64,446/324

Given numbers are 71/52,992/64,446/324

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 71,992,446

Least Common Multiple of Numerators i.e. LCM of 71,992,446 is 15706336.

GCF of Denominators means GCF of 52,64,324 as per the given fractions.

GCF of 52,64,324 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,992,446

LCM of Fractions 71/52,992/64,446/324 is 3926584

2 71, 992, 446
71, 496, 223

∴ So the LCM of the given numbers is 2 x 71 x 496 x 223 = 15706336

Least Common Multiple of 71,992,446 with GCF Formula

Least Common Multiple of 71,992,446 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 71,992,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,992,446) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,992,446) x common factors =1 x 2 = 2

LCM(71,992,446) = ( 71 × 992 × 446 ) / 2

LCM(71,992,446) = 31412672 / 2

LCM(71,992,446) = 15706336


Lets's calculate GCF of 52,64,324

2 52, 64, 324
2 26, 32, 162
13, 16, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15706336/4

Therefore the LCM of Fractions 71/52,992/64,446/324 is 3926584

Greatest Common Factor of 52,64,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,64,324 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 52,64,324 . The biggest common factor number is the GCF number.
So the greatest common factor 52,64,324 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 71/52, 992/64, 446/324

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 71/52, 992/64, 446/324?

Answer: LCM of Numerators as per given numbers 71/52, 992/64, 446/324 is

LCM of Numerators i.e. for 71,992,446 is 15706336

GCF of denominators i.e. for 52,64,324 is 4.

Thus, LCM of Fractions is 3926584.Finally, LCM of Fractions for 71/52, 992/64, 446/324 is 3926584.