Least Common Multiple of 17/43, 98/67, 13/28, 58/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/43, 98/67, 13/28, 58/720 quickly i.e. 628082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/43, 98/67, 13/28, 58/720 is 628082.

LCM(17/43, 98/67, 13/28, 58/720) = 628082

LCM of 17/43, 98/67, 13/28, 58/720

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 17/43,98/67,13/28,58/720

Given numbers are 17/43,98/67,13/28,58/720

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 17,98,13,58

Least Common Multiple of Numerators i.e. LCM of 17,98,13,58 is 628082.

GCF of Denominators means GCF of 43,67,28,720 as per the given fractions.

GCF of 43,67,28,720 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,98,13,58

LCM of Fractions 17/43,98/67,13/28,58/720 is 628082

2 17, 98, 13, 58
17, 49, 13, 29

∴ So the LCM of the given numbers is 2 x 17 x 49 x 13 x 29 = 628082

Least Common Multiple of 17,98,13,58 with GCF Formula

Least Common Multiple of 17,98,13,58 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 17,98,13,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,98,13,58) = 1

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

GCF(17,98,13,58) x common factors =1 x 2 = 2

LCM(17,98,13,58) = ( 17 × 98 × 13 × 58 ) / 2

LCM(17,98,13,58) = 1256164 / 2

LCM(17,98,13,58) = 628082


Lets's calculate GCF of 43,67,28,720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 628082/1

Therefore the LCM of Fractions 17/43,98/67,13/28,58/720 is 628082

Greatest Common Factor of 43,67,28,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,67,28,720 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 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 43,67,28,720 . The biggest common factor number is the GCF number.
So the greatest common factor 43,67,28,720 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 17/43, 98/67, 13/28, 58/720

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 17/43, 98/67, 13/28, 58/720?

Answer: LCM of Numerators as per given numbers 17/43, 98/67, 13/28, 58/720 is

LCM of Numerators i.e. for 17,98,13,58 is 628082

GCF of denominators i.e. for 43,67,28,720 is 1.

Thus, LCM of Fractions is 628082.Finally, LCM of Fractions for 17/43, 98/67, 13/28, 58/720 is 628082.