Least Common Multiple of 69/299, 333/917, 333/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/299, 333/917, 333/708 quickly i.e. 7659 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/299, 333/917, 333/708 is 7659.

LCM(69/299, 333/917, 333/708) = 7659

LCM of 69/299, 333/917, 333/708

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 69/299,333/917,333/708

Given numbers are 69/299,333/917,333/708

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 69,333,333

Least Common Multiple of Numerators i.e. LCM of 69,333,333 is 7659.

GCF of Denominators means GCF of 299,917,708 as per the given fractions.

GCF of 299,917,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,333,333

LCM of Fractions 69/299,333/917,333/708 is 7659

3 69, 333, 333
3 23, 111, 111
37 23, 37, 37
23, 1, 1

∴ So the LCM of the given numbers is 3 x 3 x 37 x 23 x 1 x 1 = 7659

Least Common Multiple of 69,333,333 with GCF Formula

Least Common Multiple of 69,333,333 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 69,333,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,333,333) = 3

common factors(in case of two or more numbers have common factors) = 333

GCF(69,333,333) x common factors =3 x 333 = 999

LCM(69,333,333) = ( 69 × 333 × 333 ) / 999

LCM(69,333,333) = 7651341 / 999

LCM(69,333,333) = 7659


Lets's calculate GCF of 299,917,708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7659/1

Therefore the LCM of Fractions 69/299,333/917,333/708 is 7659

Greatest Common Factor of 299,917,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,917,708 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 299,917,708 . The biggest common factor number is the GCF number.
So the greatest common factor 299,917,708 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 69/299, 333/917, 333/708

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 69/299, 333/917, 333/708?

Answer: LCM of Numerators as per given numbers 69/299, 333/917, 333/708 is

LCM of Numerators i.e. for 69,333,333 is 7659

GCF of denominators i.e. for 299,917,708 is 1.

Thus, LCM of Fractions is 7659.Finally, LCM of Fractions for 69/299, 333/917, 333/708 is 7659.