Least Common Multiple of 16/176, 253/226, 459/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 16/176, 253/226, 459/331 quickly i.e. 1858032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/176, 253/226, 459/331 is 1858032.

LCM(16/176, 253/226, 459/331) = 1858032

LCM of 16/176, 253/226, 459/331

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 16/176,253/226,459/331

Given numbers are 16/176,253/226,459/331

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 16,253,459

Least Common Multiple of Numerators i.e. LCM of 16,253,459 is 1858032.

GCF of Denominators means GCF of 176,226,331 as per the given fractions.

GCF of 176,226,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,253,459

LCM of Fractions 16/176,253/226,459/331 is 1858032

Given numbers has no common factors except 1. So, there LCM is their product i.e 1858032

Least Common Multiple of 16,253,459 with GCF Formula

Least Common Multiple of 16,253,459 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 16,253,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,253,459) = 1

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

GCF(16,253,459) x common factors =1 x 1 = 1

LCM(16,253,459) = ( 16 × 253 × 459 ) / 1

LCM(16,253,459) = 1858032 / 1

LCM(16,253,459) = 1858032


Lets's calculate GCF of 176,226,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1858032/1

Therefore the LCM of Fractions 16/176,253/226,459/331 is 1858032

Greatest Common Factor of 176,226,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,226,331 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 226

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

1,2,113,226

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 176,226,331 . The biggest common factor number is the GCF number.
So the greatest common factor 176,226,331 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 16/176, 253/226, 459/331

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 16/176, 253/226, 459/331?

Answer: LCM of Numerators as per given numbers 16/176, 253/226, 459/331 is

LCM of Numerators i.e. for 16,253,459 is 1858032

GCF of denominators i.e. for 176,226,331 is 1.

Thus, LCM of Fractions is 1858032.Finally, LCM of Fractions for 16/176, 253/226, 459/331 is 1858032.