Least Common Multiple of 16/390, 680/885, 352/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/390, 680/885, 352/395 quickly i.e. 5984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/390, 680/885, 352/395 is 5984.

LCM(16/390, 680/885, 352/395) = 5984

LCM of 16/390, 680/885, 352/395

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 16/390,680/885,352/395

Given numbers are 16/390,680/885,352/395

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 16,680,352

Least Common Multiple of Numerators i.e. LCM of 16,680,352 is 29920.

GCF of Denominators means GCF of 390,885,395 as per the given fractions.

GCF of 390,885,395 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,680,352

LCM of Fractions 16/390,680/885,352/395 is 5984

2 16, 680, 352
2 8, 340, 176
2 4, 170, 88
2 2, 85, 44
1, 85, 22

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 85 x 22 = 29920

Least Common Multiple of 16,680,352 with GCF Formula

Least Common Multiple of 16,680,352 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 16,680,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,680,352) = 8

common factors(in case of two or more numbers have common factors) = 16

GCF(16,680,352) x common factors =8 x 16 = 128

LCM(16,680,352) = ( 16 × 680 × 352 ) / 128

LCM(16,680,352) = 3829760 / 128

LCM(16,680,352) = 29920


Lets's calculate GCF of 390,885,395

5 390, 885, 395
78, 177, 79

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29920/5

Therefore the LCM of Fractions 16/390,680/885,352/395 is 5984

Greatest Common Factor of 390,885,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,885,395 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 395

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

1,5,79,395

Greatest Common Factor

We found the factors 390,885,395 . The biggest common factor number is the GCF number.
So the greatest common factor 390,885,395 is 5.


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 16/390, 680/885, 352/395

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 16/390, 680/885, 352/395?

Answer: LCM of Numerators as per given numbers 16/390, 680/885, 352/395 is

LCM of Numerators i.e. for 16,680,352 is 29920

GCF of denominators i.e. for 390,885,395 is 5.

Thus, LCM of Fractions is 5984.Finally, LCM of Fractions for 16/390, 680/885, 352/395 is 5984.