Least Common Multiple of 69/388, 433/333, 999/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/388, 433/333, 999/796 quickly i.e. 9949041 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/388, 433/333, 999/796 is 9949041.

LCM(69/388, 433/333, 999/796) = 9949041

LCM of 69/388, 433/333, 999/796

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 69/388,433/333,999/796

Given numbers are 69/388,433/333,999/796

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 69,433,999

Least Common Multiple of Numerators i.e. LCM of 69,433,999 is 9949041.

GCF of Denominators means GCF of 388,333,796 as per the given fractions.

GCF of 388,333,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,433,999

LCM of Fractions 69/388,433/333,999/796 is 9949041

3 69, 433, 999
23, 433, 333

∴ So the LCM of the given numbers is 3 x 23 x 433 x 333 = 9949041

Least Common Multiple of 69,433,999 with GCF Formula

Least Common Multiple of 69,433,999 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 69,433,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,433,999) = 1

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

GCF(69,433,999) x common factors =1 x 3 = 3

LCM(69,433,999) = ( 69 × 433 × 999 ) / 3

LCM(69,433,999) = 29847123 / 3

LCM(69,433,999) = 9949041


Lets's calculate GCF of 388,333,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9949041/1

Therefore the LCM of Fractions 69/388,433/333,999/796 is 9949041

Greatest Common Factor of 388,333,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,333,796 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 388,333,796 . The biggest common factor number is the GCF number.
So the greatest common factor 388,333,796 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 69/388, 433/333, 999/796

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 69/388, 433/333, 999/796?

Answer: LCM of Numerators as per given numbers 69/388, 433/333, 999/796 is

LCM of Numerators i.e. for 69,433,999 is 9949041

GCF of denominators i.e. for 388,333,796 is 1.

Thus, LCM of Fractions is 9949041.Finally, LCM of Fractions for 69/388, 433/333, 999/796 is 9949041.