Least Common Multiple of 51/81, 58/115, 834/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/81, 58/115, 834/111 quickly i.e. 411162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/81, 58/115, 834/111 is 411162.

LCM(51/81, 58/115, 834/111) = 411162

LCM of 51/81, 58/115, 834/111

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 51/81,58/115,834/111

Given numbers are 51/81,58/115,834/111

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 51,58,834

Least Common Multiple of Numerators i.e. LCM of 51,58,834 is 411162.

GCF of Denominators means GCF of 81,115,111 as per the given fractions.

GCF of 81,115,111 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,58,834

LCM of Fractions 51/81,58/115,834/111 is 411162

2 51, 58, 834
3 51, 29, 417
17, 29, 139

∴ So the LCM of the given numbers is 2 x 3 x 17 x 29 x 139 = 411162

Least Common Multiple of 51,58,834 with GCF Formula

Least Common Multiple of 51,58,834 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 51,58,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,58,834) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(51,58,834) x common factors =1 x 6 = 6

LCM(51,58,834) = ( 51 × 58 × 834 ) / 6

LCM(51,58,834) = 2466972 / 6

LCM(51,58,834) = 411162


Lets's calculate GCF of 81,115,111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411162/1

Therefore the LCM of Fractions 51/81,58/115,834/111 is 411162

Greatest Common Factor of 81,115,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,115,111 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 81,115,111 . The biggest common factor number is the GCF number.
So the greatest common factor 81,115,111 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 51/81, 58/115, 834/111

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 51/81, 58/115, 834/111?

Answer: LCM of Numerators as per given numbers 51/81, 58/115, 834/111 is

LCM of Numerators i.e. for 51,58,834 is 411162

GCF of denominators i.e. for 81,115,111 is 1.

Thus, LCM of Fractions is 411162.Finally, LCM of Fractions for 51/81, 58/115, 834/111 is 411162.