Least Common Multiple of 26/97, 394/61, 101/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/97, 394/61, 101/834 quickly i.e. 517322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/97, 394/61, 101/834 is 517322.

LCM(26/97, 394/61, 101/834) = 517322

LCM of 26/97, 394/61, 101/834

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 26/97,394/61,101/834

Given numbers are 26/97,394/61,101/834

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 26,394,101

Least Common Multiple of Numerators i.e. LCM of 26,394,101 is 517322.

GCF of Denominators means GCF of 97,61,834 as per the given fractions.

GCF of 97,61,834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,394,101

LCM of Fractions 26/97,394/61,101/834 is 517322

2 26, 394, 101
13, 197, 101

∴ So the LCM of the given numbers is 2 x 13 x 197 x 101 = 517322

Least Common Multiple of 26,394,101 with GCF Formula

Least Common Multiple of 26,394,101 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 26,394,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,394,101) = 1

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

GCF(26,394,101) x common factors =1 x 2 = 2

LCM(26,394,101) = ( 26 × 394 × 101 ) / 2

LCM(26,394,101) = 1034644 / 2

LCM(26,394,101) = 517322


Lets's calculate GCF of 97,61,834

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517322/1

Therefore the LCM of Fractions 26/97,394/61,101/834 is 517322

Greatest Common Factor of 97,61,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,61,834 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 97,61,834 . The biggest common factor number is the GCF number.
So the greatest common factor 97,61,834 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 26/97, 394/61, 101/834

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 26/97, 394/61, 101/834?

Answer: LCM of Numerators as per given numbers 26/97, 394/61, 101/834 is

LCM of Numerators i.e. for 26,394,101 is 517322

GCF of denominators i.e. for 97,61,834 is 1.

Thus, LCM of Fractions is 517322.Finally, LCM of Fractions for 26/97, 394/61, 101/834 is 517322.