Least Common Multiple of 41/445, 16/211, 363/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/445, 16/211, 363/923 quickly i.e. 238128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/445, 16/211, 363/923 is 238128.

LCM(41/445, 16/211, 363/923) = 238128

LCM of 41/445, 16/211, 363/923

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 41/445,16/211,363/923

Given numbers are 41/445,16/211,363/923

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 41,16,363

Least Common Multiple of Numerators i.e. LCM of 41,16,363 is 238128.

GCF of Denominators means GCF of 445,211,923 as per the given fractions.

GCF of 445,211,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,16,363

LCM of Fractions 41/445,16/211,363/923 is 238128

Given numbers has no common factors except 1. So, there LCM is their product i.e 238128

Least Common Multiple of 41,16,363 with GCF Formula

Least Common Multiple of 41,16,363 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 41,16,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,16,363) = 1

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

GCF(41,16,363) x common factors =1 x 1 = 1

LCM(41,16,363) = ( 41 × 16 × 363 ) / 1

LCM(41,16,363) = 238128 / 1

LCM(41,16,363) = 238128


Lets's calculate GCF of 445,211,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238128/1

Therefore the LCM of Fractions 41/445,16/211,363/923 is 238128

Greatest Common Factor of 445,211,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,211,923 By Matching Biggest Common Factor Method

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 445,211,923 . The biggest common factor number is the GCF number.
So the greatest common factor 445,211,923 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 41/445, 16/211, 363/923

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 41/445, 16/211, 363/923?

Answer: LCM of Numerators as per given numbers 41/445, 16/211, 363/923 is

LCM of Numerators i.e. for 41,16,363 is 238128

GCF of denominators i.e. for 445,211,923 is 1.

Thus, LCM of Fractions is 238128.Finally, LCM of Fractions for 41/445, 16/211, 363/923 is 238128.