Least Common Multiple of 419/741, 3504/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 419/741, 3504/825 quickly i.e. 489392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 419/741, 3504/825 is 489392.

LCM(419/741, 3504/825) = 489392

LCM of 419/741, 3504/825

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 419/741,3504/825

Given numbers are 419/741,3504/825

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 419,3504

Least Common Multiple of Numerators i.e. LCM of 419,3504 is 1468176.

GCF of Denominators means GCF of 741,825 as per the given fractions.

GCF of 741,825 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 419,3504

LCM of Fractions 419/741,3504/825 is 489392

Given numbers has no common factors except 1. So, there LCM is their product i.e 1468176

Least Common Multiple of 419,3504 with GCF Formula

Least Common Multiple of 419,3504 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 419,3504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,3504) = 1

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

GCF(419,3504) x common factors =1 x 1 = 1

LCM(419,3504) = ( 419 × 3504 ) / 1

LCM(419,3504) = 1468176 / 1

LCM(419,3504) = 1468176


Lets's calculate GCF of 741,825

3 741, 825
247, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1468176/3

Therefore the LCM of Fractions 419/741,3504/825 is 489392

Greatest Common Factor of 741,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,825 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 741,825 . The biggest common factor number is the GCF number.
So the greatest common factor 741,825 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 419/741, 3504/825

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 419/741, 3504/825?

Answer: LCM of Numerators as per given numbers 419/741, 3504/825 is

LCM of Numerators i.e. for 419,3504 is 1468176

GCF of denominators i.e. for 741,825 is 3.

Thus, LCM of Fractions is 489392.Finally, LCM of Fractions for 419/741, 3504/825 is 489392.