Least Common Multiple of 111/26, 247/46, 481/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 111/26, 247/46, 481/426 quickly i.e. 27417/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 111/26, 247/46, 481/426 is 27417/2.

LCM(111/26, 247/46, 481/426) = 27417/2

LCM of 111/26, 247/46, 481/426

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 111/26,247/46,481/426

Given numbers are 111/26,247/46,481/426

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 111,247,481

Least Common Multiple of Numerators i.e. LCM of 111,247,481 is 27417.

GCF of Denominators means GCF of 26,46,426 as per the given fractions.

GCF of 26,46,426 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 111,247,481

LCM of Fractions 111/26,247/46,481/426 is 27417/2

13 111, 247, 481
37 111, 19, 37
3, 19, 1

∴ So the LCM of the given numbers is 13 x 37 x 3 x 19 x 1 = 27417

Least Common Multiple of 111,247,481 with GCF Formula

Least Common Multiple of 111,247,481 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 111,247,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,247,481) = 1

common factors(in case of two or more numbers have common factors) = 481

GCF(111,247,481) x common factors =1 x 481 = 481

LCM(111,247,481) = ( 111 × 247 × 481 ) / 481

LCM(111,247,481) = 13187577 / 481

LCM(111,247,481) = 27417


Lets's calculate GCF of 26,46,426

2 26, 46, 426
13, 23, 213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27417/2

Therefore the LCM of Fractions 111/26,247/46,481/426 is 27417/2

Greatest Common Factor of 26,46,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,46,426 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 26,46,426 . The biggest common factor number is the GCF number.
So the greatest common factor 26,46,426 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 111/26, 247/46, 481/426

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 111/26, 247/46, 481/426?

Answer: LCM of Numerators as per given numbers 111/26, 247/46, 481/426 is

LCM of Numerators i.e. for 111,247,481 is 27417

GCF of denominators i.e. for 26,46,426 is 2.

Thus, LCM of Fractions is 27417/2.Finally, LCM of Fractions for 111/26, 247/46, 481/426 is 27417/2.