Least Common Multiple of 241/36, 833/55, 576/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 241/36, 833/55, 576/685 quickly i.e. 115633728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 241/36, 833/55, 576/685 is 115633728.

LCM(241/36, 833/55, 576/685) = 115633728

LCM of 241/36, 833/55, 576/685

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 241/36,833/55,576/685

Given numbers are 241/36,833/55,576/685

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 241,833,576

Least Common Multiple of Numerators i.e. LCM of 241,833,576 is 115633728.

GCF of Denominators means GCF of 36,55,685 as per the given fractions.

GCF of 36,55,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 241,833,576

LCM of Fractions 241/36,833/55,576/685 is 115633728

Given numbers has no common factors except 1. So, there LCM is their product i.e 115633728

Least Common Multiple of 241,833,576 with GCF Formula

Least Common Multiple of 241,833,576 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 241,833,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,833,576) = 1

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

GCF(241,833,576) x common factors =1 x 1 = 1

LCM(241,833,576) = ( 241 × 833 × 576 ) / 1

LCM(241,833,576) = 115633728 / 1

LCM(241,833,576) = 115633728


Lets's calculate GCF of 36,55,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115633728/1

Therefore the LCM of Fractions 241/36,833/55,576/685 is 115633728

Greatest Common Factor of 36,55,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,55,685 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 36,55,685 . The biggest common factor number is the GCF number.
So the greatest common factor 36,55,685 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 241/36, 833/55, 576/685

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 241/36, 833/55, 576/685?

Answer: LCM of Numerators as per given numbers 241/36, 833/55, 576/685 is

LCM of Numerators i.e. for 241,833,576 is 115633728

GCF of denominators i.e. for 36,55,685 is 1.

Thus, LCM of Fractions is 115633728.Finally, LCM of Fractions for 241/36, 833/55, 576/685 is 115633728.