Least Common Multiple of 80/666, 46/720, 646/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/666, 46/720, 646/801 quickly i.e. 594320/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/666, 46/720, 646/801 is 594320/9.

LCM(80/666, 46/720, 646/801) = 594320/9

LCM of 80/666, 46/720, 646/801

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 80/666,46/720,646/801

Given numbers are 80/666,46/720,646/801

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 80,46,646

Least Common Multiple of Numerators i.e. LCM of 80,46,646 is 594320.

GCF of Denominators means GCF of 666,720,801 as per the given fractions.

GCF of 666,720,801 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,46,646

LCM of Fractions 80/666,46/720,646/801 is 594320/9

2 80, 46, 646
40, 23, 323

∴ So the LCM of the given numbers is 2 x 40 x 23 x 323 = 594320

Least Common Multiple of 80,46,646 with GCF Formula

Least Common Multiple of 80,46,646 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 80,46,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,46,646) = 2

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

GCF(80,46,646) x common factors =2 x 2 = 4

LCM(80,46,646) = ( 80 × 46 × 646 ) / 4

LCM(80,46,646) = 2377280 / 4

LCM(80,46,646) = 594320


Lets's calculate GCF of 666,720,801

3 666, 720, 801
3 222, 240, 267
74, 80, 89

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 594320/9

Therefore the LCM of Fractions 80/666,46/720,646/801 is 594320/9

Greatest Common Factor of 666,720,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,720,801 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 666,720,801 . The biggest common factor number is the GCF number.
So the greatest common factor 666,720,801 is 9.


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 80/666, 46/720, 646/801

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 80/666, 46/720, 646/801?

Answer: LCM of Numerators as per given numbers 80/666, 46/720, 646/801 is

LCM of Numerators i.e. for 80,46,646 is 594320

GCF of denominators i.e. for 666,720,801 is 9.

Thus, LCM of Fractions is 594320/9.Finally, LCM of Fractions for 80/666, 46/720, 646/801 is 594320/9.