Least Common Multiple of 409/96, 725/9260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/96, 725/9260 quickly i.e. 296525/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/96, 725/9260 is 296525/4.

LCM(409/96, 725/9260) = 296525/4

LCM of 409/96, 725/9260

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 409/96,725/9260

Given numbers are 409/96,725/9260

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 409,725

Least Common Multiple of Numerators i.e. LCM of 409,725 is 296525.

GCF of Denominators means GCF of 96,9260 as per the given fractions.

GCF of 96,9260 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,725

LCM of Fractions 409/96,725/9260 is 296525/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 296525

Least Common Multiple of 409,725 with GCF Formula

Least Common Multiple of 409,725 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 409,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,725) = 1

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

GCF(409,725) x common factors =1 x 1 = 1

LCM(409,725) = ( 409 × 725 ) / 1

LCM(409,725) = 296525 / 1

LCM(409,725) = 296525


Lets's calculate GCF of 96,9260

2 96, 9260
2 48, 4630
24, 2315

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296525/4

Therefore the LCM of Fractions 409/96,725/9260 is 296525/4

Greatest Common Factor of 96,9260 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,9260 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 9260

List of positive integer factors of 9260 that divides 9260 without a remainder.

1,2,4,5,10,20,463,926,1852,2315,4630,9260

Greatest Common Factor

We found the factors 96,9260 . The biggest common factor number is the GCF number.
So the greatest common factor 96,9260 is 4.


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 409/96, 725/9260

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 409/96, 725/9260?

Answer: LCM of Numerators as per given numbers 409/96, 725/9260 is

LCM of Numerators i.e. for 409,725 is 296525

GCF of denominators i.e. for 96,9260 is 4.

Thus, LCM of Fractions is 296525/4.Finally, LCM of Fractions for 409/96, 725/9260 is 296525/4.