Least Common Multiple of 33/414, 69/286, 770/881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/414, 69/286, 770/881 quickly i.e. 53130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/414, 69/286, 770/881 is 53130.

LCM(33/414, 69/286, 770/881) = 53130

LCM of 33/414, 69/286, 770/881

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 33/414,69/286,770/881

Given numbers are 33/414,69/286,770/881

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 33,69,770

Least Common Multiple of Numerators i.e. LCM of 33,69,770 is 53130.

GCF of Denominators means GCF of 414,286,881 as per the given fractions.

GCF of 414,286,881 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,69,770

LCM of Fractions 33/414,69/286,770/881 is 53130

3 33, 69, 770
11 11, 23, 770
1, 23, 70

∴ So the LCM of the given numbers is 3 x 11 x 1 x 23 x 70 = 53130

Least Common Multiple of 33,69,770 with GCF Formula

Least Common Multiple of 33,69,770 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 33,69,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,69,770) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(33,69,770) x common factors =1 x 33 = 33

LCM(33,69,770) = ( 33 × 69 × 770 ) / 33

LCM(33,69,770) = 1753290 / 33

LCM(33,69,770) = 53130


Lets's calculate GCF of 414,286,881

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53130/1

Therefore the LCM of Fractions 33/414,69/286,770/881 is 53130

Greatest Common Factor of 414,286,881 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,286,881 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Greatest Common Factor

We found the factors 414,286,881 . The biggest common factor number is the GCF number.
So the greatest common factor 414,286,881 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 33/414, 69/286, 770/881

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 33/414, 69/286, 770/881?

Answer: LCM of Numerators as per given numbers 33/414, 69/286, 770/881 is

LCM of Numerators i.e. for 33,69,770 is 53130

GCF of denominators i.e. for 414,286,881 is 1.

Thus, LCM of Fractions is 53130.Finally, LCM of Fractions for 33/414, 69/286, 770/881 is 53130.