Least Common Multiple of 89/17, 58/47, 47/19, 76/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/17, 58/47, 47/19, 76/413 quickly i.e. 9219332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/17, 58/47, 47/19, 76/413 is 9219332.

LCM(89/17, 58/47, 47/19, 76/413) = 9219332

LCM of 89/17, 58/47, 47/19, 76/413

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 89/17,58/47,47/19,76/413

Given numbers are 89/17,58/47,47/19,76/413

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 89,58,47,76

Least Common Multiple of Numerators i.e. LCM of 89,58,47,76 is 9219332.

GCF of Denominators means GCF of 17,47,19,413 as per the given fractions.

GCF of 17,47,19,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,58,47,76

LCM of Fractions 89/17,58/47,47/19,76/413 is 9219332

2 89, 58, 47, 76
89, 29, 47, 38

∴ So the LCM of the given numbers is 2 x 89 x 29 x 47 x 38 = 9219332

Least Common Multiple of 89,58,47,76 with GCF Formula

Least Common Multiple of 89,58,47,76 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 89,58,47,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,58,47,76) = 1

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

GCF(89,58,47,76) x common factors =1 x 2 = 2

LCM(89,58,47,76) = ( 89 × 58 × 47 × 76 ) / 2

LCM(89,58,47,76) = 18438664 / 2

LCM(89,58,47,76) = 9219332


Lets's calculate GCF of 17,47,19,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9219332/1

Therefore the LCM of Fractions 89/17,58/47,47/19,76/413 is 9219332

Greatest Common Factor of 17,47,19,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,47,19,413 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 19

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

1,19

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 17,47,19,413 . The biggest common factor number is the GCF number.
So the greatest common factor 17,47,19,413 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 89/17, 58/47, 47/19, 76/413

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 89/17, 58/47, 47/19, 76/413?

Answer: LCM of Numerators as per given numbers 89/17, 58/47, 47/19, 76/413 is

LCM of Numerators i.e. for 89,58,47,76 is 9219332

GCF of denominators i.e. for 17,47,19,413 is 1.

Thus, LCM of Fractions is 9219332.Finally, LCM of Fractions for 89/17, 58/47, 47/19, 76/413 is 9219332.