Least Common Multiple of 13/406, 138/131, 419/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/406, 138/131, 419/276 quickly i.e. 751686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/406, 138/131, 419/276 is 751686.

LCM(13/406, 138/131, 419/276) = 751686

LCM of 13/406, 138/131, 419/276

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 13/406,138/131,419/276

Given numbers are 13/406,138/131,419/276

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 13,138,419

Least Common Multiple of Numerators i.e. LCM of 13,138,419 is 751686.

GCF of Denominators means GCF of 406,131,276 as per the given fractions.

GCF of 406,131,276 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,138,419

LCM of Fractions 13/406,138/131,419/276 is 751686

Given numbers has no common factors except 1. So, there LCM is their product i.e 751686

Least Common Multiple of 13,138,419 with GCF Formula

Least Common Multiple of 13,138,419 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 13,138,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,138,419) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(13,138,419) x common factors =1 x 1 = 1

LCM(13,138,419) = ( 13 × 138 × 419 ) / 1

LCM(13,138,419) = 751686 / 1

LCM(13,138,419) = 751686


Lets's calculate GCF of 406,131,276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 751686/1

Therefore the LCM of Fractions 13/406,138/131,419/276 is 751686

Greatest Common Factor of 406,131,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,131,276 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 406,131,276 . The biggest common factor number is the GCF number.
So the greatest common factor 406,131,276 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 13/406, 138/131, 419/276

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 13/406, 138/131, 419/276?

Answer: LCM of Numerators as per given numbers 13/406, 138/131, 419/276 is

LCM of Numerators i.e. for 13,138,419 is 751686

GCF of denominators i.e. for 406,131,276 is 1.

Thus, LCM of Fractions is 751686.Finally, LCM of Fractions for 13/406, 138/131, 419/276 is 751686.