Least Common Multiple of 26/14, 73/993, 109/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/14, 73/993, 109/596 quickly i.e. 206882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/14, 73/993, 109/596 is 206882.

LCM(26/14, 73/993, 109/596) = 206882

LCM of 26/14, 73/993, 109/596

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 26/14,73/993,109/596

Given numbers are 26/14,73/993,109/596

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 26,73,109

Least Common Multiple of Numerators i.e. LCM of 26,73,109 is 206882.

GCF of Denominators means GCF of 14,993,596 as per the given fractions.

GCF of 14,993,596 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,73,109

LCM of Fractions 26/14,73/993,109/596 is 206882

Given numbers has no common factors except 1. So, there LCM is their product i.e 206882

Least Common Multiple of 26,73,109 with GCF Formula

Least Common Multiple of 26,73,109 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 26,73,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,73,109) = 1

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

GCF(26,73,109) x common factors =1 x 1 = 1

LCM(26,73,109) = ( 26 × 73 × 109 ) / 1

LCM(26,73,109) = 206882 / 1

LCM(26,73,109) = 206882


Lets's calculate GCF of 14,993,596

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206882/1

Therefore the LCM of Fractions 26/14,73/993,109/596 is 206882

Greatest Common Factor of 14,993,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,993,596 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 14,993,596 . The biggest common factor number is the GCF number.
So the greatest common factor 14,993,596 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 26/14, 73/993, 109/596

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 26/14, 73/993, 109/596?

Answer: LCM of Numerators as per given numbers 26/14, 73/993, 109/596 is

LCM of Numerators i.e. for 26,73,109 is 206882

GCF of denominators i.e. for 14,993,596 is 1.

Thus, LCM of Fractions is 206882.Finally, LCM of Fractions for 26/14, 73/993, 109/596 is 206882.