Least Common Multiple of 1/23, 8/19, 89/80, 81/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/23, 8/19, 89/80, 81/685 quickly i.e. 57672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/23, 8/19, 89/80, 81/685 is 57672.

LCM(1/23, 8/19, 89/80, 81/685) = 57672

LCM of 1/23, 8/19, 89/80, 81/685

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 1/23,8/19,89/80,81/685

Given numbers are 1/23,8/19,89/80,81/685

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 1,8,89,81

Least Common Multiple of Numerators i.e. LCM of 1,8,89,81 is 57672.

GCF of Denominators means GCF of 23,19,80,685 as per the given fractions.

GCF of 23,19,80,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,8,89,81

LCM of Fractions 1/23,8/19,89/80,81/685 is 57672

Given numbers has no common factors except 1. So, there LCM is their product i.e 57672

Least Common Multiple of 1,8,89,81 with GCF Formula

Least Common Multiple of 1,8,89,81 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 1,8,89,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,8,89,81) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1,8,89,81) x common factors =1 x 1 = 1

LCM(1,8,89,81) = ( 1 × 8 × 89 × 81 ) / 1

LCM(1,8,89,81) = 57672 / 1

LCM(1,8,89,81) = 57672


Lets's calculate GCF of 23,19,80,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57672/1

Therefore the LCM of Fractions 1/23,8/19,89/80,81/685 is 57672

Greatest Common Factor of 23,19,80,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,19,80,685 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

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 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 23,19,80,685 . The biggest common factor number is the GCF number.
So the greatest common factor 23,19,80,685 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 1/23, 8/19, 89/80, 81/685

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 1/23, 8/19, 89/80, 81/685?

Answer: LCM of Numerators as per given numbers 1/23, 8/19, 89/80, 81/685 is

LCM of Numerators i.e. for 1,8,89,81 is 57672

GCF of denominators i.e. for 23,19,80,685 is 1.

Thus, LCM of Fractions is 57672.Finally, LCM of Fractions for 1/23, 8/19, 89/80, 81/685 is 57672.