Least Common Multiple of 69/409, 16/395, 600/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/409, 16/395, 600/888 quickly i.e. 27600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/409, 16/395, 600/888 is 27600.

LCM(69/409, 16/395, 600/888) = 27600

LCM of 69/409, 16/395, 600/888

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 69/409,16/395,600/888

Given numbers are 69/409,16/395,600/888

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 69,16,600

Least Common Multiple of Numerators i.e. LCM of 69,16,600 is 27600.

GCF of Denominators means GCF of 409,395,888 as per the given fractions.

GCF of 409,395,888 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,16,600

LCM of Fractions 69/409,16/395,600/888 is 27600

2 69, 16, 600
2 69, 8, 300
2 69, 4, 150
3 69, 2, 75
23, 2, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 23 x 2 x 25 = 27600

Least Common Multiple of 69,16,600 with GCF Formula

Least Common Multiple of 69,16,600 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 69,16,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,16,600) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(69,16,600) x common factors =1 x 24 = 24

LCM(69,16,600) = ( 69 × 16 × 600 ) / 24

LCM(69,16,600) = 662400 / 24

LCM(69,16,600) = 27600


Lets's calculate GCF of 409,395,888

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27600/1

Therefore the LCM of Fractions 69/409,16/395,600/888 is 27600

Greatest Common Factor of 409,395,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,395,888 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 409,395,888 . The biggest common factor number is the GCF number.
So the greatest common factor 409,395,888 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 69/409, 16/395, 600/888

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 69/409, 16/395, 600/888?

Answer: LCM of Numerators as per given numbers 69/409, 16/395, 600/888 is

LCM of Numerators i.e. for 69,16,600 is 27600

GCF of denominators i.e. for 409,395,888 is 1.

Thus, LCM of Fractions is 27600.Finally, LCM of Fractions for 69/409, 16/395, 600/888 is 27600.