Least Common Multiple of 992/72, 749/20, 716/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 992/72, 749/20, 716/20 quickly i.e. 33249608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/72, 749/20, 716/20 is 33249608.

LCM(992/72, 749/20, 716/20) = 33249608

LCM of 992/72, 749/20, 716/20

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 992/72,749/20,716/20

Given numbers are 992/72,749/20,716/20

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 992,749,716

Least Common Multiple of Numerators i.e. LCM of 992,749,716 is 132998432.

GCF of Denominators means GCF of 72,20,20 as per the given fractions.

GCF of 72,20,20 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,749,716

LCM of Fractions 992/72,749/20,716/20 is 33249608

2 992, 749, 716
2 496, 749, 358
248, 749, 179

∴ So the LCM of the given numbers is 2 x 2 x 248 x 749 x 179 = 132998432

Least Common Multiple of 992,749,716 with GCF Formula

Least Common Multiple of 992,749,716 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 992,749,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,749,716) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(992,749,716) x common factors =1 x 4 = 4

LCM(992,749,716) = ( 992 × 749 × 716 ) / 4

LCM(992,749,716) = 531993728 / 4

LCM(992,749,716) = 132998432


Lets's calculate GCF of 72,20,20

2 72, 20, 20
2 36, 10, 10
18, 5, 5

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132998432/4

Therefore the LCM of Fractions 992/72,749/20,716/20 is 33249608

Greatest Common Factor of 72,20,20 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,20,20 By Matching Biggest Common Factor Method

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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Greatest Common Factor

We found the factors 72,20,20 . The biggest common factor number is the GCF number.
So the greatest common factor 72,20,20 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 992/72, 749/20, 716/20

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 992/72, 749/20, 716/20?

Answer: LCM of Numerators as per given numbers 992/72, 749/20, 716/20 is

LCM of Numerators i.e. for 992,749,716 is 132998432

GCF of denominators i.e. for 72,20,20 is 4.

Thus, LCM of Fractions is 33249608.Finally, LCM of Fractions for 992/72, 749/20, 716/20 is 33249608.