Least Common Multiple of 395/10, 923/16, 902/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 395/10, 923/16, 902/226 quickly i.e. 164427835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 395/10, 923/16, 902/226 is 164427835.

LCM(395/10, 923/16, 902/226) = 164427835

LCM of 395/10, 923/16, 902/226

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 395/10,923/16,902/226

Given numbers are 395/10,923/16,902/226

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 395,923,902

Least Common Multiple of Numerators i.e. LCM of 395,923,902 is 328855670.

GCF of Denominators means GCF of 10,16,226 as per the given fractions.

GCF of 10,16,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 395,923,902

LCM of Fractions 395/10,923/16,902/226 is 164427835

Given numbers has no common factors except 1. So, there LCM is their product i.e 328855670

Least Common Multiple of 395,923,902 with GCF Formula

Least Common Multiple of 395,923,902 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 395,923,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,923,902) = 1

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

GCF(395,923,902) x common factors =1 x 1 = 1

LCM(395,923,902) = ( 395 × 923 × 902 ) / 1

LCM(395,923,902) = 328855670 / 1

LCM(395,923,902) = 328855670


Lets's calculate GCF of 10,16,226

2 10, 16, 226
5, 8, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 328855670/2

Therefore the LCM of Fractions 395/10,923/16,902/226 is 164427835

Greatest Common Factor of 10,16,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,16,226 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

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 10,16,226 . The biggest common factor number is the GCF number.
So the greatest common factor 10,16,226 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 395/10, 923/16, 902/226

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 395/10, 923/16, 902/226?

Answer: LCM of Numerators as per given numbers 395/10, 923/16, 902/226 is

LCM of Numerators i.e. for 395,923,902 is 328855670

GCF of denominators i.e. for 10,16,226 is 2.

Thus, LCM of Fractions is 164427835.Finally, LCM of Fractions for 395/10, 923/16, 902/226 is 164427835.