Least Common Multiple of 82/89, 29/59, 37/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/89, 29/59, 37/114 quickly i.e. 87986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/89, 29/59, 37/114 is 87986.

LCM(82/89, 29/59, 37/114) = 87986

LCM of 82/89, 29/59, 37/114

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 82/89,29/59,37/114

Given numbers are 82/89,29/59,37/114

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 82,29,37

Least Common Multiple of Numerators i.e. LCM of 82,29,37 is 87986.

GCF of Denominators means GCF of 89,59,114 as per the given fractions.

GCF of 89,59,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,29,37

LCM of Fractions 82/89,29/59,37/114 is 87986

Given numbers has no common factors except 1. So, there LCM is their product i.e 87986

Least Common Multiple of 82,29,37 with GCF Formula

Least Common Multiple of 82,29,37 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 82,29,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,29,37) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(82,29,37) x common factors =1 x 1 = 1

LCM(82,29,37) = ( 82 × 29 × 37 ) / 1

LCM(82,29,37) = 87986 / 1

LCM(82,29,37) = 87986


Lets's calculate GCF of 89,59,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87986/1

Therefore the LCM of Fractions 82/89,29/59,37/114 is 87986

Greatest Common Factor of 89,59,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,59,114 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 59

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

1,59

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 89,59,114 . The biggest common factor number is the GCF number.
So the greatest common factor 89,59,114 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 82/89, 29/59, 37/114

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 82/89, 29/59, 37/114?

Answer: LCM of Numerators as per given numbers 82/89, 29/59, 37/114 is

LCM of Numerators i.e. for 82,29,37 is 87986

GCF of denominators i.e. for 89,59,114 is 1.

Thus, LCM of Fractions is 87986.Finally, LCM of Fractions for 82/89, 29/59, 37/114 is 87986.