Least Common Multiple of 89/43, 71/31, 45/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/43, 71/31, 45/21 quickly i.e. 284355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/43, 71/31, 45/21 is 284355.

LCM(89/43, 71/31, 45/21) = 284355

LCM of 89/43, 71/31, 45/21

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 89/43,71/31,45/21

Given numbers are 89/43,71/31,45/21

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 89,71,45

Least Common Multiple of Numerators i.e. LCM of 89,71,45 is 284355.

GCF of Denominators means GCF of 43,31,21 as per the given fractions.

GCF of 43,31,21 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,71,45

LCM of Fractions 89/43,71/31,45/21 is 284355

Given numbers has no common factors except 1. So, there LCM is their product i.e 284355

Least Common Multiple of 89,71,45 with GCF Formula

Least Common Multiple of 89,71,45 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 89,71,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,71,45) = 1

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

GCF(89,71,45) x common factors =1 x 1 = 1

LCM(89,71,45) = ( 89 × 71 × 45 ) / 1

LCM(89,71,45) = 284355 / 1

LCM(89,71,45) = 284355


Lets's calculate GCF of 43,31,21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284355/1

Therefore the LCM of Fractions 89/43,71/31,45/21 is 284355

Greatest Common Factor of 43,31,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,31,21 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 43,31,21 . The biggest common factor number is the GCF number.
So the greatest common factor 43,31,21 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 89/43, 71/31, 45/21

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 89/43, 71/31, 45/21?

Answer: LCM of Numerators as per given numbers 89/43, 71/31, 45/21 is

LCM of Numerators i.e. for 89,71,45 is 284355

GCF of denominators i.e. for 43,31,21 is 1.

Thus, LCM of Fractions is 284355.Finally, LCM of Fractions for 89/43, 71/31, 45/21 is 284355.