Least Common Multiple of 16/10, 23/63, 189/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/10, 23/63, 189/496 quickly i.e. 69552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/10, 23/63, 189/496 is 69552.

LCM(16/10, 23/63, 189/496) = 69552

LCM of 16/10, 23/63, 189/496

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 16/10,23/63,189/496

Given numbers are 16/10,23/63,189/496

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 16,23,189

Least Common Multiple of Numerators i.e. LCM of 16,23,189 is 69552.

GCF of Denominators means GCF of 10,63,496 as per the given fractions.

GCF of 10,63,496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,23,189

LCM of Fractions 16/10,23/63,189/496 is 69552

Given numbers has no common factors except 1. So, there LCM is their product i.e 69552

Least Common Multiple of 16,23,189 with GCF Formula

Least Common Multiple of 16,23,189 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 16,23,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,23,189) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(16,23,189) x common factors =1 x 1 = 1

LCM(16,23,189) = ( 16 × 23 × 189 ) / 1

LCM(16,23,189) = 69552 / 1

LCM(16,23,189) = 69552


Lets's calculate GCF of 10,63,496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69552/1

Therefore the LCM of Fractions 16/10,23/63,189/496 is 69552

Greatest Common Factor of 10,63,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,63,496 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 10,63,496 . The biggest common factor number is the GCF number.
So the greatest common factor 10,63,496 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 16/10, 23/63, 189/496

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 16/10, 23/63, 189/496?

Answer: LCM of Numerators as per given numbers 16/10, 23/63, 189/496 is

LCM of Numerators i.e. for 16,23,189 is 69552

GCF of denominators i.e. for 10,63,496 is 1.

Thus, LCM of Fractions is 69552.Finally, LCM of Fractions for 16/10, 23/63, 189/496 is 69552.