Least Common Multiple of 11/834, 776/339, 228/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/834, 776/339, 228/447 quickly i.e. 162184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/834, 776/339, 228/447 is 162184.

LCM(11/834, 776/339, 228/447) = 162184

LCM of 11/834, 776/339, 228/447

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 11/834,776/339,228/447

Given numbers are 11/834,776/339,228/447

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 11,776,228

Least Common Multiple of Numerators i.e. LCM of 11,776,228 is 486552.

GCF of Denominators means GCF of 834,339,447 as per the given fractions.

GCF of 834,339,447 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,776,228

LCM of Fractions 11/834,776/339,228/447 is 162184

2 11, 776, 228
2 11, 388, 114
11, 194, 57

∴ So the LCM of the given numbers is 2 x 2 x 11 x 194 x 57 = 486552

Least Common Multiple of 11,776,228 with GCF Formula

Least Common Multiple of 11,776,228 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 11,776,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,776,228) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(11,776,228) x common factors =1 x 4 = 4

LCM(11,776,228) = ( 11 × 776 × 228 ) / 4

LCM(11,776,228) = 1946208 / 4

LCM(11,776,228) = 486552


Lets's calculate GCF of 834,339,447

3 834, 339, 447
278, 113, 149

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 486552/3

Therefore the LCM of Fractions 11/834,776/339,228/447 is 162184

Greatest Common Factor of 834,339,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,339,447 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 834,339,447 . The biggest common factor number is the GCF number.
So the greatest common factor 834,339,447 is 3.


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 11/834, 776/339, 228/447

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 11/834, 776/339, 228/447?

Answer: LCM of Numerators as per given numbers 11/834, 776/339, 228/447 is

LCM of Numerators i.e. for 11,776,228 is 486552

GCF of denominators i.e. for 834,339,447 is 3.

Thus, LCM of Fractions is 162184.Finally, LCM of Fractions for 11/834, 776/339, 228/447 is 162184.