Least Common Multiple of 26/15, 51/745, 656/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/15, 51/745, 656/205 quickly i.e. 434928/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/15, 51/745, 656/205 is 434928/5.

LCM(26/15, 51/745, 656/205) = 434928/5

LCM of 26/15, 51/745, 656/205

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 26/15,51/745,656/205

Given numbers are 26/15,51/745,656/205

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 26,51,656

Least Common Multiple of Numerators i.e. LCM of 26,51,656 is 434928.

GCF of Denominators means GCF of 15,745,205 as per the given fractions.

GCF of 15,745,205 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,51,656

LCM of Fractions 26/15,51/745,656/205 is 434928/5

2 26, 51, 656
13, 51, 328

∴ So the LCM of the given numbers is 2 x 13 x 51 x 328 = 434928

Least Common Multiple of 26,51,656 with GCF Formula

Least Common Multiple of 26,51,656 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 26,51,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,51,656) = 1

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

GCF(26,51,656) x common factors =1 x 2 = 2

LCM(26,51,656) = ( 26 × 51 × 656 ) / 2

LCM(26,51,656) = 869856 / 2

LCM(26,51,656) = 434928


Lets's calculate GCF of 15,745,205

5 15, 745, 205
3, 149, 41

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434928/5

Therefore the LCM of Fractions 26/15,51/745,656/205 is 434928/5

Greatest Common Factor of 15,745,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,745,205 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 15,745,205 . The biggest common factor number is the GCF number.
So the greatest common factor 15,745,205 is 5.


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 26/15, 51/745, 656/205

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 26/15, 51/745, 656/205?

Answer: LCM of Numerators as per given numbers 26/15, 51/745, 656/205 is

LCM of Numerators i.e. for 26,51,656 is 434928

GCF of denominators i.e. for 15,745,205 is 5.

Thus, LCM of Fractions is 434928/5.Finally, LCM of Fractions for 26/15, 51/745, 656/205 is 434928/5.