Least Common Multiple of 69/11, 663/69, 442/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/11, 663/69, 442/340 quickly i.e. 30498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/11, 663/69, 442/340 is 30498.

LCM(69/11, 663/69, 442/340) = 30498

LCM of 69/11, 663/69, 442/340

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 69/11,663/69,442/340

Given numbers are 69/11,663/69,442/340

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 69,663,442

Least Common Multiple of Numerators i.e. LCM of 69,663,442 is 30498.

GCF of Denominators means GCF of 11,69,340 as per the given fractions.

GCF of 11,69,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,663,442

LCM of Fractions 69/11,663/69,442/340 is 30498

3 69, 663, 442
13 23, 221, 442
17 23, 17, 34
23, 1, 2

∴ So the LCM of the given numbers is 3 x 13 x 17 x 23 x 1 x 2 = 30498

Least Common Multiple of 69,663,442 with GCF Formula

Least Common Multiple of 69,663,442 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 69,663,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,663,442) = 1

common factors(in case of two or more numbers have common factors) = 663

GCF(69,663,442) x common factors =1 x 663 = 663

LCM(69,663,442) = ( 69 × 663 × 442 ) / 663

LCM(69,663,442) = 20220174 / 663

LCM(69,663,442) = 30498


Lets's calculate GCF of 11,69,340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30498/1

Therefore the LCM of Fractions 69/11,663/69,442/340 is 30498

Greatest Common Factor of 11,69,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,69,340 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 11,69,340 . The biggest common factor number is the GCF number.
So the greatest common factor 11,69,340 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 69/11, 663/69, 442/340

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 69/11, 663/69, 442/340?

Answer: LCM of Numerators as per given numbers 69/11, 663/69, 442/340 is

LCM of Numerators i.e. for 69,663,442 is 30498

GCF of denominators i.e. for 11,69,340 is 1.

Thus, LCM of Fractions is 30498.Finally, LCM of Fractions for 69/11, 663/69, 442/340 is 30498.