Least Common Multiple of 16/85, 42/56, 589/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/85, 42/56, 589/870 quickly i.e. 197904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/85, 42/56, 589/870 is 197904.

LCM(16/85, 42/56, 589/870) = 197904

LCM of 16/85, 42/56, 589/870

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 16/85,42/56,589/870

Given numbers are 16/85,42/56,589/870

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 16,42,589

Least Common Multiple of Numerators i.e. LCM of 16,42,589 is 197904.

GCF of Denominators means GCF of 85,56,870 as per the given fractions.

GCF of 85,56,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,42,589

LCM of Fractions 16/85,42/56,589/870 is 197904

2 16, 42, 589
8, 21, 589

∴ So the LCM of the given numbers is 2 x 8 x 21 x 589 = 197904

Least Common Multiple of 16,42,589 with GCF Formula

Least Common Multiple of 16,42,589 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 16,42,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,42,589) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,42,589) x common factors =1 x 2 = 2

LCM(16,42,589) = ( 16 × 42 × 589 ) / 2

LCM(16,42,589) = 395808 / 2

LCM(16,42,589) = 197904


Lets's calculate GCF of 85,56,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197904/1

Therefore the LCM of Fractions 16/85,42/56,589/870 is 197904

Greatest Common Factor of 85,56,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,56,870 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 85,56,870 . The biggest common factor number is the GCF number.
So the greatest common factor 85,56,870 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 16/85, 42/56, 589/870

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 16/85, 42/56, 589/870?

Answer: LCM of Numerators as per given numbers 16/85, 42/56, 589/870 is

LCM of Numerators i.e. for 16,42,589 is 197904

GCF of denominators i.e. for 85,56,870 is 1.

Thus, LCM of Fractions is 197904.Finally, LCM of Fractions for 16/85, 42/56, 589/870 is 197904.