Least Common Multiple of 11/131, 291/861, 414/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/131, 291/861, 414/505 quickly i.e. 441738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/131, 291/861, 414/505 is 441738.

LCM(11/131, 291/861, 414/505) = 441738

LCM of 11/131, 291/861, 414/505

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 11/131,291/861,414/505

Given numbers are 11/131,291/861,414/505

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 11,291,414

Least Common Multiple of Numerators i.e. LCM of 11,291,414 is 441738.

GCF of Denominators means GCF of 131,861,505 as per the given fractions.

GCF of 131,861,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,291,414

LCM of Fractions 11/131,291/861,414/505 is 441738

3 11, 291, 414
11, 97, 138

∴ So the LCM of the given numbers is 3 x 11 x 97 x 138 = 441738

Least Common Multiple of 11,291,414 with GCF Formula

Least Common Multiple of 11,291,414 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 11,291,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,291,414) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(11,291,414) x common factors =1 x 3 = 3

LCM(11,291,414) = ( 11 × 291 × 414 ) / 3

LCM(11,291,414) = 1325214 / 3

LCM(11,291,414) = 441738


Lets's calculate GCF of 131,861,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 441738/1

Therefore the LCM of Fractions 11/131,291/861,414/505 is 441738

Greatest Common Factor of 131,861,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,861,505 By Matching Biggest Common Factor Method

Factors of 131

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

1,131

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 131,861,505 . The biggest common factor number is the GCF number.
So the greatest common factor 131,861,505 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 11/131, 291/861, 414/505

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 11/131, 291/861, 414/505?

Answer: LCM of Numerators as per given numbers 11/131, 291/861, 414/505 is

LCM of Numerators i.e. for 11,291,414 is 441738

GCF of denominators i.e. for 131,861,505 is 1.

Thus, LCM of Fractions is 441738.Finally, LCM of Fractions for 11/131, 291/861, 414/505 is 441738.