Least Common Multiple of 16/55, 45/79, 229/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/55, 45/79, 229/800 quickly i.e. 164880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/55, 45/79, 229/800 is 164880.

LCM(16/55, 45/79, 229/800) = 164880

LCM of 16/55, 45/79, 229/800

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 16/55,45/79,229/800

Given numbers are 16/55,45/79,229/800

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 16,45,229

Least Common Multiple of Numerators i.e. LCM of 16,45,229 is 164880.

GCF of Denominators means GCF of 55,79,800 as per the given fractions.

GCF of 55,79,800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,45,229

LCM of Fractions 16/55,45/79,229/800 is 164880

Given numbers has no common factors except 1. So, there LCM is their product i.e 164880

Least Common Multiple of 16,45,229 with GCF Formula

Least Common Multiple of 16,45,229 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 16,45,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,45,229) = 1

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

GCF(16,45,229) x common factors =1 x 1 = 1

LCM(16,45,229) = ( 16 × 45 × 229 ) / 1

LCM(16,45,229) = 164880 / 1

LCM(16,45,229) = 164880


Lets's calculate GCF of 55,79,800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164880/1

Therefore the LCM of Fractions 16/55,45/79,229/800 is 164880

Greatest Common Factor of 55,79,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,79,800 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 55,79,800 . The biggest common factor number is the GCF number.
So the greatest common factor 55,79,800 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 16/55, 45/79, 229/800

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 16/55, 45/79, 229/800?

Answer: LCM of Numerators as per given numbers 16/55, 45/79, 229/800 is

LCM of Numerators i.e. for 16,45,229 is 164880

GCF of denominators i.e. for 55,79,800 is 1.

Thus, LCM of Fractions is 164880.Finally, LCM of Fractions for 16/55, 45/79, 229/800 is 164880.