Least Common Multiple of 41/316, 144/45, 233/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/316, 144/45, 233/784 quickly i.e. 1375632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/316, 144/45, 233/784 is 1375632.

LCM(41/316, 144/45, 233/784) = 1375632

LCM of 41/316, 144/45, 233/784

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 41/316,144/45,233/784

Given numbers are 41/316,144/45,233/784

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 41,144,233

Least Common Multiple of Numerators i.e. LCM of 41,144,233 is 1375632.

GCF of Denominators means GCF of 316,45,784 as per the given fractions.

GCF of 316,45,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,144,233

LCM of Fractions 41/316,144/45,233/784 is 1375632

Given numbers has no common factors except 1. So, there LCM is their product i.e 1375632

Least Common Multiple of 41,144,233 with GCF Formula

Least Common Multiple of 41,144,233 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 41,144,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,144,233) = 1

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

GCF(41,144,233) x common factors =1 x 1 = 1

LCM(41,144,233) = ( 41 × 144 × 233 ) / 1

LCM(41,144,233) = 1375632 / 1

LCM(41,144,233) = 1375632


Lets's calculate GCF of 316,45,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1375632/1

Therefore the LCM of Fractions 41/316,144/45,233/784 is 1375632

Greatest Common Factor of 316,45,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,45,784 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 316,45,784 . The biggest common factor number is the GCF number.
So the greatest common factor 316,45,784 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 41/316, 144/45, 233/784

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 41/316, 144/45, 233/784?

Answer: LCM of Numerators as per given numbers 41/316, 144/45, 233/784 is

LCM of Numerators i.e. for 41,144,233 is 1375632

GCF of denominators i.e. for 316,45,784 is 1.

Thus, LCM of Fractions is 1375632.Finally, LCM of Fractions for 41/316, 144/45, 233/784 is 1375632.