Least Common Multiple of 699/413, 1744/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 699/413, 1744/241 quickly i.e. 1219056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/413, 1744/241 is 1219056.

LCM(699/413, 1744/241) = 1219056

LCM of 699/413, 1744/241

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 699/413,1744/241

Given numbers are 699/413,1744/241

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 699,1744

Least Common Multiple of Numerators i.e. LCM of 699,1744 is 1219056.

GCF of Denominators means GCF of 413,241 as per the given fractions.

GCF of 413,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,1744

LCM of Fractions 699/413,1744/241 is 1219056

Given numbers has no common factors except 1. So, there LCM is their product i.e 1219056

Least Common Multiple of 699,1744 with GCF Formula

Least Common Multiple of 699,1744 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 699,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,1744) = 1

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

GCF(699,1744) x common factors =1 x 1 = 1

LCM(699,1744) = ( 699 × 1744 ) / 1

LCM(699,1744) = 1219056 / 1

LCM(699,1744) = 1219056


Lets's calculate GCF of 413,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1219056/1

Therefore the LCM of Fractions 699/413,1744/241 is 1219056

Greatest Common Factor of 413,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,241 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 413,241 . The biggest common factor number is the GCF number.
So the greatest common factor 413,241 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 699/413, 1744/241

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 699/413, 1744/241?

Answer: LCM of Numerators as per given numbers 699/413, 1744/241 is

LCM of Numerators i.e. for 699,1744 is 1219056

GCF of denominators i.e. for 413,241 is 1.

Thus, LCM of Fractions is 1219056.Finally, LCM of Fractions for 699/413, 1744/241 is 1219056.