Least Common Multiple of 16/52, 993/45, 414/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/52, 993/45, 414/173 quickly i.e. 1096272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/52, 993/45, 414/173 is 1096272.

LCM(16/52, 993/45, 414/173) = 1096272

LCM of 16/52, 993/45, 414/173

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 16/52,993/45,414/173

Given numbers are 16/52,993/45,414/173

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 16,993,414

Least Common Multiple of Numerators i.e. LCM of 16,993,414 is 1096272.

GCF of Denominators means GCF of 52,45,173 as per the given fractions.

GCF of 52,45,173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,993,414

LCM of Fractions 16/52,993/45,414/173 is 1096272

2 16, 993, 414
3 8, 993, 207
8, 331, 69

∴ So the LCM of the given numbers is 2 x 3 x 8 x 331 x 69 = 1096272

Least Common Multiple of 16,993,414 with GCF Formula

Least Common Multiple of 16,993,414 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 16,993,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,993,414) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(16,993,414) x common factors =1 x 6 = 6

LCM(16,993,414) = ( 16 × 993 × 414 ) / 6

LCM(16,993,414) = 6577632 / 6

LCM(16,993,414) = 1096272


Lets's calculate GCF of 52,45,173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1096272/1

Therefore the LCM of Fractions 16/52,993/45,414/173 is 1096272

Greatest Common Factor of 52,45,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,45,173 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 52,45,173 . The biggest common factor number is the GCF number.
So the greatest common factor 52,45,173 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 16/52, 993/45, 414/173

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 16/52, 993/45, 414/173?

Answer: LCM of Numerators as per given numbers 16/52, 993/45, 414/173 is

LCM of Numerators i.e. for 16,993,414 is 1096272

GCF of denominators i.e. for 52,45,173 is 1.

Thus, LCM of Fractions is 1096272.Finally, LCM of Fractions for 16/52, 993/45, 414/173 is 1096272.