Least Common Multiple of 728/26, 278/86, 506/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/26, 278/86, 506/14 quickly i.e. 12800788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/26, 278/86, 506/14 is 12800788.

LCM(728/26, 278/86, 506/14) = 12800788

LCM of 728/26, 278/86, 506/14

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 728/26,278/86,506/14

Given numbers are 728/26,278/86,506/14

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 728,278,506

Least Common Multiple of Numerators i.e. LCM of 728,278,506 is 25601576.

GCF of Denominators means GCF of 26,86,14 as per the given fractions.

GCF of 26,86,14 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,278,506

LCM of Fractions 728/26,278/86,506/14 is 12800788

2 728, 278, 506
364, 139, 253

∴ So the LCM of the given numbers is 2 x 364 x 139 x 253 = 25601576

Least Common Multiple of 728,278,506 with GCF Formula

Least Common Multiple of 728,278,506 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 728,278,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,278,506) = 2

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

GCF(728,278,506) x common factors =2 x 2 = 4

LCM(728,278,506) = ( 728 × 278 × 506 ) / 4

LCM(728,278,506) = 102406304 / 4

LCM(728,278,506) = 25601576


Lets's calculate GCF of 26,86,14

2 26, 86, 14
13, 43, 7

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25601576/2

Therefore the LCM of Fractions 728/26,278/86,506/14 is 12800788

Greatest Common Factor of 26,86,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,86,14 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 14

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

1,2,7,14

Greatest Common Factor

We found the factors 26,86,14 . The biggest common factor number is the GCF number.
So the greatest common factor 26,86,14 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 728/26, 278/86, 506/14

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 728/26, 278/86, 506/14?

Answer: LCM of Numerators as per given numbers 728/26, 278/86, 506/14 is

LCM of Numerators i.e. for 728,278,506 is 25601576

GCF of denominators i.e. for 26,86,14 is 2.

Thus, LCM of Fractions is 12800788.Finally, LCM of Fractions for 728/26, 278/86, 506/14 is 12800788.