Least Common Multiple of 16/345, 20/938, 144/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/345, 20/938, 144/190 quickly i.e. 720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/345, 20/938, 144/190 is 720.

LCM(16/345, 20/938, 144/190) = 720

LCM of 16/345, 20/938, 144/190

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 16/345,20/938,144/190

Given numbers are 16/345,20/938,144/190

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 16,20,144

Least Common Multiple of Numerators i.e. LCM of 16,20,144 is 720.

GCF of Denominators means GCF of 345,938,190 as per the given fractions.

GCF of 345,938,190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,20,144

LCM of Fractions 16/345,20/938,144/190 is 720

2 16, 20, 144
2 8, 10, 72
2 4, 5, 36
2 2, 5, 18
1, 5, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 5 x 9 = 720

Least Common Multiple of 16,20,144 with GCF Formula

Least Common Multiple of 16,20,144 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 16,20,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,20,144) = 4

common factors(in case of two or more numbers have common factors) = 16

GCF(16,20,144) x common factors =4 x 16 = 64

LCM(16,20,144) = ( 16 × 20 × 144 ) / 64

LCM(16,20,144) = 46080 / 64

LCM(16,20,144) = 720


Lets's calculate GCF of 345,938,190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 720/1

Therefore the LCM of Fractions 16/345,20/938,144/190 is 720

Greatest Common Factor of 345,938,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,938,190 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 345,938,190 . The biggest common factor number is the GCF number.
So the greatest common factor 345,938,190 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 16/345, 20/938, 144/190

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 16/345, 20/938, 144/190?

Answer: LCM of Numerators as per given numbers 16/345, 20/938, 144/190 is

LCM of Numerators i.e. for 16,20,144 is 720

GCF of denominators i.e. for 345,938,190 is 1.

Thus, LCM of Fractions is 720.Finally, LCM of Fractions for 16/345, 20/938, 144/190 is 720.