Least Common Multiple of 973/82, 286/36, 134/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 973/82, 286/36, 134/103 quickly i.e. 18644626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/82, 286/36, 134/103 is 18644626.

LCM(973/82, 286/36, 134/103) = 18644626

LCM of 973/82, 286/36, 134/103

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 973/82,286/36,134/103

Given numbers are 973/82,286/36,134/103

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 973,286,134

Least Common Multiple of Numerators i.e. LCM of 973,286,134 is 18644626.

GCF of Denominators means GCF of 82,36,103 as per the given fractions.

GCF of 82,36,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,286,134

LCM of Fractions 973/82,286/36,134/103 is 18644626

2 973, 286, 134
973, 143, 67

∴ So the LCM of the given numbers is 2 x 973 x 143 x 67 = 18644626

Least Common Multiple of 973,286,134 with GCF Formula

Least Common Multiple of 973,286,134 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 973,286,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,286,134) = 1

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

GCF(973,286,134) x common factors =1 x 2 = 2

LCM(973,286,134) = ( 973 × 286 × 134 ) / 2

LCM(973,286,134) = 37289252 / 2

LCM(973,286,134) = 18644626


Lets's calculate GCF of 82,36,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18644626/1

Therefore the LCM of Fractions 973/82,286/36,134/103 is 18644626

Greatest Common Factor of 82,36,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,36,103 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 82,36,103 . The biggest common factor number is the GCF number.
So the greatest common factor 82,36,103 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 973/82, 286/36, 134/103

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 973/82, 286/36, 134/103?

Answer: LCM of Numerators as per given numbers 973/82, 286/36, 134/103 is

LCM of Numerators i.e. for 973,286,134 is 18644626

GCF of denominators i.e. for 82,36,103 is 1.

Thus, LCM of Fractions is 18644626.Finally, LCM of Fractions for 973/82, 286/36, 134/103 is 18644626.