Least Common Multiple of 89/23, 98/545, 890/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/23, 98/545, 890/517 quickly i.e. 43610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/23, 98/545, 890/517 is 43610.

LCM(89/23, 98/545, 890/517) = 43610

LCM of 89/23, 98/545, 890/517

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 89/23,98/545,890/517

Given numbers are 89/23,98/545,890/517

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 89,98,890

Least Common Multiple of Numerators i.e. LCM of 89,98,890 is 43610.

GCF of Denominators means GCF of 23,545,517 as per the given fractions.

GCF of 23,545,517 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,98,890

LCM of Fractions 89/23,98/545,890/517 is 43610

2 89, 98, 890
89 89, 49, 445
1, 49, 5

∴ So the LCM of the given numbers is 2 x 89 x 1 x 49 x 5 = 43610

Least Common Multiple of 89,98,890 with GCF Formula

Least Common Multiple of 89,98,890 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 89,98,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,98,890) = 1

common factors(in case of two or more numbers have common factors) = 178

GCF(89,98,890) x common factors =1 x 178 = 178

LCM(89,98,890) = ( 89 × 98 × 890 ) / 178

LCM(89,98,890) = 7762580 / 178

LCM(89,98,890) = 43610


Lets's calculate GCF of 23,545,517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43610/1

Therefore the LCM of Fractions 89/23,98/545,890/517 is 43610

Greatest Common Factor of 23,545,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,545,517 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 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 23,545,517 . The biggest common factor number is the GCF number.
So the greatest common factor 23,545,517 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 89/23, 98/545, 890/517

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 89/23, 98/545, 890/517?

Answer: LCM of Numerators as per given numbers 89/23, 98/545, 890/517 is

LCM of Numerators i.e. for 89,98,890 is 43610

GCF of denominators i.e. for 23,545,517 is 1.

Thus, LCM of Fractions is 43610.Finally, LCM of Fractions for 89/23, 98/545, 890/517 is 43610.