Least Common Multiple of 325/828, 1774/2401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 325/828, 1774/2401 quickly i.e. 576550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 325/828, 1774/2401 is 576550.

LCM(325/828, 1774/2401) = 576550

LCM of 325/828, 1774/2401

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 325/828,1774/2401

Given numbers are 325/828,1774/2401

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 325,1774

Least Common Multiple of Numerators i.e. LCM of 325,1774 is 576550.

GCF of Denominators means GCF of 828,2401 as per the given fractions.

GCF of 828,2401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 325,1774

LCM of Fractions 325/828,1774/2401 is 576550

Given numbers has no common factors except 1. So, there LCM is their product i.e 576550

Least Common Multiple of 325,1774 with GCF Formula

Least Common Multiple of 325,1774 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 325,1774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,1774) = 1

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

GCF(325,1774) x common factors =1 x 1 = 1

LCM(325,1774) = ( 325 × 1774 ) / 1

LCM(325,1774) = 576550 / 1

LCM(325,1774) = 576550


Lets's calculate GCF of 828,2401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576550/1

Therefore the LCM of Fractions 325/828,1774/2401 is 576550

Greatest Common Factor of 828,2401 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,2401 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 2401

List of positive integer factors of 2401 that divides 2401 without a remainder.

1,7,49,343,2401

Greatest Common Factor

We found the factors 828,2401 . The biggest common factor number is the GCF number.
So the greatest common factor 828,2401 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 325/828, 1774/2401

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 325/828, 1774/2401?

Answer: LCM of Numerators as per given numbers 325/828, 1774/2401 is

LCM of Numerators i.e. for 325,1774 is 576550

GCF of denominators i.e. for 828,2401 is 1.

Thus, LCM of Fractions is 576550.Finally, LCM of Fractions for 325/828, 1774/2401 is 576550.