Least Common Multiple of 16/76, 905/68, 395/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/76, 905/68, 395/218 quickly i.e. 571960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/76, 905/68, 395/218 is 571960.

LCM(16/76, 905/68, 395/218) = 571960

LCM of 16/76, 905/68, 395/218

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 16/76,905/68,395/218

Given numbers are 16/76,905/68,395/218

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 16,905,395

Least Common Multiple of Numerators i.e. LCM of 16,905,395 is 1143920.

GCF of Denominators means GCF of 76,68,218 as per the given fractions.

GCF of 76,68,218 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,905,395

LCM of Fractions 16/76,905/68,395/218 is 571960

5 16, 905, 395
16, 181, 79

∴ So the LCM of the given numbers is 5 x 16 x 181 x 79 = 1143920

Least Common Multiple of 16,905,395 with GCF Formula

Least Common Multiple of 16,905,395 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 16,905,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,905,395) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(16,905,395) x common factors =1 x 5 = 5

LCM(16,905,395) = ( 16 × 905 × 395 ) / 5

LCM(16,905,395) = 5719600 / 5

LCM(16,905,395) = 1143920


Lets's calculate GCF of 76,68,218

2 76, 68, 218
38, 34, 109

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1143920/2

Therefore the LCM of Fractions 16/76,905/68,395/218 is 571960

Greatest Common Factor of 76,68,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,68,218 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 76,68,218 . The biggest common factor number is the GCF number.
So the greatest common factor 76,68,218 is 2.


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 16/76, 905/68, 395/218

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 16/76, 905/68, 395/218?

Answer: LCM of Numerators as per given numbers 16/76, 905/68, 395/218 is

LCM of Numerators i.e. for 16,905,395 is 1143920

GCF of denominators i.e. for 76,68,218 is 2.

Thus, LCM of Fractions is 571960.Finally, LCM of Fractions for 16/76, 905/68, 395/218 is 571960.