Least Common Multiple of 80/718, 636/966, 231/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/718, 636/966, 231/672 quickly i.e. 489720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/718, 636/966, 231/672 is 489720.

LCM(80/718, 636/966, 231/672) = 489720

LCM of 80/718, 636/966, 231/672

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 80/718,636/966,231/672

Given numbers are 80/718,636/966,231/672

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 80,636,231

Least Common Multiple of Numerators i.e. LCM of 80,636,231 is 979440.

GCF of Denominators means GCF of 718,966,672 as per the given fractions.

GCF of 718,966,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,636,231

LCM of Fractions 80/718,636/966,231/672 is 489720

2 80, 636, 231
2 40, 318, 231
3 20, 159, 231
20, 53, 77

∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 53 x 77 = 979440

Least Common Multiple of 80,636,231 with GCF Formula

Least Common Multiple of 80,636,231 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 80,636,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,636,231) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(80,636,231) x common factors =1 x 12 = 12

LCM(80,636,231) = ( 80 × 636 × 231 ) / 12

LCM(80,636,231) = 11753280 / 12

LCM(80,636,231) = 979440


Lets's calculate GCF of 718,966,672

2 718, 966, 672
359, 483, 336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 979440/2

Therefore the LCM of Fractions 80/718,636/966,231/672 is 489720

Greatest Common Factor of 718,966,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,966,672 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 718,966,672 . The biggest common factor number is the GCF number.
So the greatest common factor 718,966,672 is 2.


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 80/718, 636/966, 231/672

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 80/718, 636/966, 231/672?

Answer: LCM of Numerators as per given numbers 80/718, 636/966, 231/672 is

LCM of Numerators i.e. for 80,636,231 is 979440

GCF of denominators i.e. for 718,966,672 is 2.

Thus, LCM of Fractions is 489720.Finally, LCM of Fractions for 80/718, 636/966, 231/672 is 489720.