Least Common Multiple of 685/75, 243/33, 841/29

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 685/75, 243/33, 841/29 quickly i.e. 139988655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/75, 243/33, 841/29 is 139988655.

LCM(685/75, 243/33, 841/29) = 139988655

LCM of 685/75, 243/33, 841/29

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 685/75,243/33,841/29

Given numbers are 685/75,243/33,841/29

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 685,243,841

Least Common Multiple of Numerators i.e. LCM of 685,243,841 is 139988655.

GCF of Denominators means GCF of 75,33,29 as per the given fractions.

GCF of 75,33,29 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,243,841

LCM of Fractions 685/75,243/33,841/29 is 139988655

Given numbers has no common factors except 1. So, there LCM is their product i.e 139988655

Least Common Multiple of 685,243,841 with GCF Formula

Least Common Multiple of 685,243,841 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 685,243,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,243,841) = 1

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

GCF(685,243,841) x common factors =1 x 1 = 1

LCM(685,243,841) = ( 685 × 243 × 841 ) / 1

LCM(685,243,841) = 139988655 / 1

LCM(685,243,841) = 139988655


Lets's calculate GCF of 75,33,29

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139988655/1

Therefore the LCM of Fractions 685/75,243/33,841/29 is 139988655

Greatest Common Factor of 75,33,29 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,33,29 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Greatest Common Factor

We found the factors 75,33,29 . The biggest common factor number is the GCF number.
So the greatest common factor 75,33,29 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 685/75, 243/33, 841/29

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 685/75, 243/33, 841/29?

Answer: LCM of Numerators as per given numbers 685/75, 243/33, 841/29 is

LCM of Numerators i.e. for 685,243,841 is 139988655

GCF of denominators i.e. for 75,33,29 is 1.

Thus, LCM of Fractions is 139988655.Finally, LCM of Fractions for 685/75, 243/33, 841/29 is 139988655.