Least Common Multiple of 72/646, 96/451, 999/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/646, 96/451, 999/839 quickly i.e. 31968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/646, 96/451, 999/839 is 31968.

LCM(72/646, 96/451, 999/839) = 31968

LCM of 72/646, 96/451, 999/839

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 72/646,96/451,999/839

Given numbers are 72/646,96/451,999/839

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 72,96,999

Least Common Multiple of Numerators i.e. LCM of 72,96,999 is 31968.

GCF of Denominators means GCF of 646,451,839 as per the given fractions.

GCF of 646,451,839 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,96,999

LCM of Fractions 72/646,96/451,999/839 is 31968

2 72, 96, 999
2 36, 48, 999
2 18, 24, 999
3 9, 12, 999
3 3, 4, 333
1, 4, 111

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 4 x 111 = 31968

Least Common Multiple of 72,96,999 with GCF Formula

Least Common Multiple of 72,96,999 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 72,96,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,96,999) = 3

common factors(in case of two or more numbers have common factors) = 72

GCF(72,96,999) x common factors =3 x 72 = 216

LCM(72,96,999) = ( 72 × 96 × 999 ) / 216

LCM(72,96,999) = 6905088 / 216

LCM(72,96,999) = 31968


Lets's calculate GCF of 646,451,839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31968/1

Therefore the LCM of Fractions 72/646,96/451,999/839 is 31968

Greatest Common Factor of 646,451,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,451,839 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 646,451,839 . The biggest common factor number is the GCF number.
So the greatest common factor 646,451,839 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 72/646, 96/451, 999/839

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 72/646, 96/451, 999/839?

Answer: LCM of Numerators as per given numbers 72/646, 96/451, 999/839 is

LCM of Numerators i.e. for 72,96,999 is 31968

GCF of denominators i.e. for 646,451,839 is 1.

Thus, LCM of Fractions is 31968.Finally, LCM of Fractions for 72/646, 96/451, 999/839 is 31968.