Least Common Multiple of 69/330, 691/805, 565/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/330, 691/805, 565/429 quickly i.e. 26938635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/330, 691/805, 565/429 is 26938635.

LCM(69/330, 691/805, 565/429) = 26938635

LCM of 69/330, 691/805, 565/429

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 69/330,691/805,565/429

Given numbers are 69/330,691/805,565/429

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 69,691,565

Least Common Multiple of Numerators i.e. LCM of 69,691,565 is 26938635.

GCF of Denominators means GCF of 330,805,429 as per the given fractions.

GCF of 330,805,429 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,691,565

LCM of Fractions 69/330,691/805,565/429 is 26938635

Given numbers has no common factors except 1. So, there LCM is their product i.e 26938635

Least Common Multiple of 69,691,565 with GCF Formula

Least Common Multiple of 69,691,565 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 69,691,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,691,565) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(69,691,565) x common factors =1 x 1 = 1

LCM(69,691,565) = ( 69 × 691 × 565 ) / 1

LCM(69,691,565) = 26938635 / 1

LCM(69,691,565) = 26938635


Lets's calculate GCF of 330,805,429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26938635/1

Therefore the LCM of Fractions 69/330,691/805,565/429 is 26938635

Greatest Common Factor of 330,805,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,805,429 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 330,805,429 . The biggest common factor number is the GCF number.
So the greatest common factor 330,805,429 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/330, 691/805, 565/429

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 69/330, 691/805, 565/429?

Answer: LCM of Numerators as per given numbers 69/330, 691/805, 565/429 is

LCM of Numerators i.e. for 69,691,565 is 26938635

GCF of denominators i.e. for 330,805,429 is 1.

Thus, LCM of Fractions is 26938635.Finally, LCM of Fractions for 69/330, 691/805, 565/429 is 26938635.