Least Common Multiple of 81/80, 20/70, 97/12, 69/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/80, 20/70, 97/12, 69/808 quickly i.e. 1807110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/80, 20/70, 97/12, 69/808 is 1807110.

LCM(81/80, 20/70, 97/12, 69/808) = 1807110

LCM of 81/80, 20/70, 97/12, 69/808

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 81/80,20/70,97/12,69/808

Given numbers are 81/80,20/70,97/12,69/808

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 81,20,97,69

Least Common Multiple of Numerators i.e. LCM of 81,20,97,69 is 3614220.

GCF of Denominators means GCF of 80,70,12,808 as per the given fractions.

GCF of 80,70,12,808 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,20,97,69

LCM of Fractions 81/80,20/70,97/12,69/808 is 1807110

3 81, 20, 97, 69
27, 20, 97, 23

∴ So the LCM of the given numbers is 3 x 27 x 20 x 97 x 23 = 3614220

Least Common Multiple of 81,20,97,69 with GCF Formula

Least Common Multiple of 81,20,97,69 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 81,20,97,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,20,97,69) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,20,97,69) x common factors =1 x 3 = 3

LCM(81,20,97,69) = ( 81 × 20 × 97 × 69 ) / 3

LCM(81,20,97,69) = 10842660 / 3

LCM(81,20,97,69) = 3614220


Lets's calculate GCF of 80,70,12,808

2 80, 70, 12, 808
40, 35, 6, 404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3614220/2

Therefore the LCM of Fractions 81/80,20/70,97/12,69/808 is 1807110

Greatest Common Factor of 80,70,12,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,70,12,808 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 80,70,12,808 . The biggest common factor number is the GCF number.
So the greatest common factor 80,70,12,808 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 81/80, 20/70, 97/12, 69/808

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 81/80, 20/70, 97/12, 69/808?

Answer: LCM of Numerators as per given numbers 81/80, 20/70, 97/12, 69/808 is

LCM of Numerators i.e. for 81,20,97,69 is 3614220

GCF of denominators i.e. for 80,70,12,808 is 2.

Thus, LCM of Fractions is 1807110.Finally, LCM of Fractions for 81/80, 20/70, 97/12, 69/808 is 1807110.