Least Common Multiple of 338/501, 409/633, 841/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 338/501, 409/633, 841/315 quickly i.e. 116261522/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 338/501, 409/633, 841/315 is 116261522/3.

LCM(338/501, 409/633, 841/315) = 116261522/3

LCM of 338/501, 409/633, 841/315

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 338/501,409/633,841/315

Given numbers are 338/501,409/633,841/315

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 338,409,841

Least Common Multiple of Numerators i.e. LCM of 338,409,841 is 116261522.

GCF of Denominators means GCF of 501,633,315 as per the given fractions.

GCF of 501,633,315 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 338,409,841

LCM of Fractions 338/501,409/633,841/315 is 116261522/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 116261522

Least Common Multiple of 338,409,841 with GCF Formula

Least Common Multiple of 338,409,841 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 338,409,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,409,841) = 1

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

GCF(338,409,841) x common factors =1 x 1 = 1

LCM(338,409,841) = ( 338 × 409 × 841 ) / 1

LCM(338,409,841) = 116261522 / 1

LCM(338,409,841) = 116261522


Lets's calculate GCF of 501,633,315

3 501, 633, 315
167, 211, 105

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116261522/3

Therefore the LCM of Fractions 338/501,409/633,841/315 is 116261522/3

Greatest Common Factor of 501,633,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,633,315 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 501,633,315 . The biggest common factor number is the GCF number.
So the greatest common factor 501,633,315 is 3.


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 338/501, 409/633, 841/315

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 338/501, 409/633, 841/315?

Answer: LCM of Numerators as per given numbers 338/501, 409/633, 841/315 is

LCM of Numerators i.e. for 338,409,841 is 116261522

GCF of denominators i.e. for 501,633,315 is 3.

Thus, LCM of Fractions is 116261522/3.Finally, LCM of Fractions for 338/501, 409/633, 841/315 is 116261522/3.