Least Common Multiple of 26/82, 378/34, 915/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/82, 378/34, 915/966 quickly i.e. 749385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/82, 378/34, 915/966 is 749385.

LCM(26/82, 378/34, 915/966) = 749385

LCM of 26/82, 378/34, 915/966

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 26/82,378/34,915/966

Given numbers are 26/82,378/34,915/966

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 26,378,915

Least Common Multiple of Numerators i.e. LCM of 26,378,915 is 1498770.

GCF of Denominators means GCF of 82,34,966 as per the given fractions.

GCF of 82,34,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,378,915

LCM of Fractions 26/82,378/34,915/966 is 749385

2 26, 378, 915
3 13, 189, 915
13, 63, 305

∴ So the LCM of the given numbers is 2 x 3 x 13 x 63 x 305 = 1498770

Least Common Multiple of 26,378,915 with GCF Formula

Least Common Multiple of 26,378,915 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 26,378,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,378,915) = 1

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

GCF(26,378,915) x common factors =1 x 6 = 6

LCM(26,378,915) = ( 26 × 378 × 915 ) / 6

LCM(26,378,915) = 8992620 / 6

LCM(26,378,915) = 1498770


Lets's calculate GCF of 82,34,966

2 82, 34, 966
41, 17, 483

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1498770/2

Therefore the LCM of Fractions 26/82,378/34,915/966 is 749385

Greatest Common Factor of 82,34,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,34,966 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 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 82,34,966 . The biggest common factor number is the GCF number.
So the greatest common factor 82,34,966 is 2.


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 26/82, 378/34, 915/966

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 26/82, 378/34, 915/966?

Answer: LCM of Numerators as per given numbers 26/82, 378/34, 915/966 is

LCM of Numerators i.e. for 26,378,915 is 1498770

GCF of denominators i.e. for 82,34,966 is 2.

Thus, LCM of Fractions is 749385.Finally, LCM of Fractions for 26/82, 378/34, 915/966 is 749385.