Least Common Multiple of 61/575, 3794/6311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/575, 3794/6311 quickly i.e. 231434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/575, 3794/6311 is 231434.

LCM(61/575, 3794/6311) = 231434

LCM of 61/575, 3794/6311

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 61/575,3794/6311

Given numbers are 61/575,3794/6311

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 61,3794

Least Common Multiple of Numerators i.e. LCM of 61,3794 is 231434.

GCF of Denominators means GCF of 575,6311 as per the given fractions.

GCF of 575,6311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,3794

LCM of Fractions 61/575,3794/6311 is 231434

Given numbers has no common factors except 1. So, there LCM is their product i.e 231434

Least Common Multiple of 61,3794 with GCF Formula

Least Common Multiple of 61,3794 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 61,3794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,3794) = 1

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

GCF(61,3794) x common factors =1 x 1 = 1

LCM(61,3794) = ( 61 × 3794 ) / 1

LCM(61,3794) = 231434 / 1

LCM(61,3794) = 231434


Lets's calculate GCF of 575,6311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231434/1

Therefore the LCM of Fractions 61/575,3794/6311 is 231434

Greatest Common Factor of 575,6311 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,6311 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 6311

List of positive integer factors of 6311 that divides 6311 without a remainder.

1,6311

Greatest Common Factor

We found the factors 575,6311 . The biggest common factor number is the GCF number.
So the greatest common factor 575,6311 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 61/575, 3794/6311

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 61/575, 3794/6311?

Answer: LCM of Numerators as per given numbers 61/575, 3794/6311 is

LCM of Numerators i.e. for 61,3794 is 231434

GCF of denominators i.e. for 575,6311 is 1.

Thus, LCM of Fractions is 231434.Finally, LCM of Fractions for 61/575, 3794/6311 is 231434.