Least Common Multiple of 86/59, 95/33, 98/86, 29/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 86/59, 95/33, 98/86, 29/915 quickly i.e. 11609570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/59, 95/33, 98/86, 29/915 is 11609570.

LCM(86/59, 95/33, 98/86, 29/915) = 11609570

LCM of 86/59, 95/33, 98/86, 29/915

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 86/59,95/33,98/86,29/915

Given numbers are 86/59,95/33,98/86,29/915

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 86,95,98,29

Least Common Multiple of Numerators i.e. LCM of 86,95,98,29 is 11609570.

GCF of Denominators means GCF of 59,33,86,915 as per the given fractions.

GCF of 59,33,86,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,95,98,29

LCM of Fractions 86/59,95/33,98/86,29/915 is 11609570

2 86, 95, 98, 29
43, 95, 49, 29

∴ So the LCM of the given numbers is 2 x 43 x 95 x 49 x 29 = 11609570

Least Common Multiple of 86,95,98,29 with GCF Formula

Least Common Multiple of 86,95,98,29 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 86,95,98,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,95,98,29) = 1

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

GCF(86,95,98,29) x common factors =1 x 2 = 2

LCM(86,95,98,29) = ( 86 × 95 × 98 × 29 ) / 2

LCM(86,95,98,29) = 23219140 / 2

LCM(86,95,98,29) = 11609570


Lets's calculate GCF of 59,33,86,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11609570/1

Therefore the LCM of Fractions 86/59,95/33,98/86,29/915 is 11609570

Greatest Common Factor of 59,33,86,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,33,86,915 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 59,33,86,915 . The biggest common factor number is the GCF number.
So the greatest common factor 59,33,86,915 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 86/59, 95/33, 98/86, 29/915

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 86/59, 95/33, 98/86, 29/915?

Answer: LCM of Numerators as per given numbers 86/59, 95/33, 98/86, 29/915 is

LCM of Numerators i.e. for 86,95,98,29 is 11609570

GCF of denominators i.e. for 59,33,86,915 is 1.

Thus, LCM of Fractions is 11609570.Finally, LCM of Fractions for 86/59, 95/33, 98/86, 29/915 is 11609570.