Least Common Multiple of 16/824, 23/884, 101/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/824, 23/884, 101/168 quickly i.e. 9292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/824, 23/884, 101/168 is 9292.

LCM(16/824, 23/884, 101/168) = 9292

LCM of 16/824, 23/884, 101/168

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 16/824,23/884,101/168

Given numbers are 16/824,23/884,101/168

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 16,23,101

Least Common Multiple of Numerators i.e. LCM of 16,23,101 is 37168.

GCF of Denominators means GCF of 824,884,168 as per the given fractions.

GCF of 824,884,168 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,23,101

LCM of Fractions 16/824,23/884,101/168 is 9292

Given numbers has no common factors except 1. So, there LCM is their product i.e 37168

Least Common Multiple of 16,23,101 with GCF Formula

Least Common Multiple of 16,23,101 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 16,23,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,23,101) = 1

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

GCF(16,23,101) x common factors =1 x 1 = 1

LCM(16,23,101) = ( 16 × 23 × 101 ) / 1

LCM(16,23,101) = 37168 / 1

LCM(16,23,101) = 37168


Lets's calculate GCF of 824,884,168

2 824, 884, 168
2 412, 442, 84
206, 221, 42

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37168/4

Therefore the LCM of Fractions 16/824,23/884,101/168 is 9292

Greatest Common Factor of 824,884,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,884,168 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 824,884,168 . The biggest common factor number is the GCF number.
So the greatest common factor 824,884,168 is 4.


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 16/824, 23/884, 101/168

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 16/824, 23/884, 101/168?

Answer: LCM of Numerators as per given numbers 16/824, 23/884, 101/168 is

LCM of Numerators i.e. for 16,23,101 is 37168

GCF of denominators i.e. for 824,884,168 is 4.

Thus, LCM of Fractions is 9292.Finally, LCM of Fractions for 16/824, 23/884, 101/168 is 9292.