Least Common Multiple of 16/266, 736/90, 109/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/266, 736/90, 109/226 quickly i.e. 40112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/266, 736/90, 109/226 is 40112.

LCM(16/266, 736/90, 109/226) = 40112

LCM of 16/266, 736/90, 109/226

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 16/266,736/90,109/226

Given numbers are 16/266,736/90,109/226

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 16,736,109

Least Common Multiple of Numerators i.e. LCM of 16,736,109 is 80224.

GCF of Denominators means GCF of 266,90,226 as per the given fractions.

GCF of 266,90,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,736,109

LCM of Fractions 16/266,736/90,109/226 is 40112

2 16, 736, 109
2 8, 368, 109
2 4, 184, 109
2 2, 92, 109
1, 46, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 46 x 109 = 80224

Least Common Multiple of 16,736,109 with GCF Formula

Least Common Multiple of 16,736,109 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 16,736,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,736,109) = 1

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

GCF(16,736,109) x common factors =1 x 16 = 16

LCM(16,736,109) = ( 16 × 736 × 109 ) / 16

LCM(16,736,109) = 1283584 / 16

LCM(16,736,109) = 80224


Lets's calculate GCF of 266,90,226

2 266, 90, 226
133, 45, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80224/2

Therefore the LCM of Fractions 16/266,736/90,109/226 is 40112

Greatest Common Factor of 266,90,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,90,226 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 266,90,226 . The biggest common factor number is the GCF number.
So the greatest common factor 266,90,226 is 2.


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 16/266, 736/90, 109/226

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 16/266, 736/90, 109/226?

Answer: LCM of Numerators as per given numbers 16/266, 736/90, 109/226 is

LCM of Numerators i.e. for 16,736,109 is 80224

GCF of denominators i.e. for 266,90,226 is 2.

Thus, LCM of Fractions is 40112.Finally, LCM of Fractions for 16/266, 736/90, 109/226 is 40112.