Least Common Multiple of 69/682, 27/133, 201/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/682, 27/133, 201/780 quickly i.e. 41607 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/682, 27/133, 201/780 is 41607.

LCM(69/682, 27/133, 201/780) = 41607

LCM of 69/682, 27/133, 201/780

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 69/682,27/133,201/780

Given numbers are 69/682,27/133,201/780

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 69,27,201

Least Common Multiple of Numerators i.e. LCM of 69,27,201 is 41607.

GCF of Denominators means GCF of 682,133,780 as per the given fractions.

GCF of 682,133,780 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,27,201

LCM of Fractions 69/682,27/133,201/780 is 41607

3 69, 27, 201
23, 9, 67

∴ So the LCM of the given numbers is 3 x 23 x 9 x 67 = 41607

Least Common Multiple of 69,27,201 with GCF Formula

Least Common Multiple of 69,27,201 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 69,27,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,27,201) = 3

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

GCF(69,27,201) x common factors =3 x 3 = 9

LCM(69,27,201) = ( 69 × 27 × 201 ) / 9

LCM(69,27,201) = 374463 / 9

LCM(69,27,201) = 41607


Lets's calculate GCF of 682,133,780

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41607/1

Therefore the LCM of Fractions 69/682,27/133,201/780 is 41607

Greatest Common Factor of 682,133,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,133,780 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 682,133,780 . The biggest common factor number is the GCF number.
So the greatest common factor 682,133,780 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 69/682, 27/133, 201/780

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 69/682, 27/133, 201/780?

Answer: LCM of Numerators as per given numbers 69/682, 27/133, 201/780 is

LCM of Numerators i.e. for 69,27,201 is 41607

GCF of denominators i.e. for 682,133,780 is 1.

Thus, LCM of Fractions is 41607.Finally, LCM of Fractions for 69/682, 27/133, 201/780 is 41607.