Least Common Multiple of 3524/414, 9596/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3524/414, 9596/747 quickly i.e. 8454076/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3524/414, 9596/747 is 8454076/9.

LCM(3524/414, 9596/747) = 8454076/9

LCM of 3524/414, 9596/747

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 3524/414,9596/747

Given numbers are 3524/414,9596/747

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 3524,9596

Least Common Multiple of Numerators i.e. LCM of 3524,9596 is 8454076.

GCF of Denominators means GCF of 414,747 as per the given fractions.

GCF of 414,747 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3524,9596

LCM of Fractions 3524/414,9596/747 is 8454076/9

2 3524, 9596
2 1762, 4798
881, 2399

∴ So the LCM of the given numbers is 2 x 2 x 881 x 2399 = 8454076

Least Common Multiple of 3524,9596 with GCF Formula

Least Common Multiple of 3524,9596 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 3524,9596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3524,9596) = 4

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

GCF(3524,9596) x common factors =4 x 1 = 4

LCM(3524,9596) = ( 3524 × 9596 ) / 4

LCM(3524,9596) = 33816304 / 4

LCM(3524,9596) = 8454076


Lets's calculate GCF of 414,747

3 414, 747
3 138, 249
46, 83

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8454076/9

Therefore the LCM of Fractions 3524/414,9596/747 is 8454076/9

Greatest Common Factor of 414,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,747 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 414,747 . The biggest common factor number is the GCF number.
So the greatest common factor 414,747 is 9.


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 3524/414, 9596/747

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 3524/414, 9596/747?

Answer: LCM of Numerators as per given numbers 3524/414, 9596/747 is

LCM of Numerators i.e. for 3524,9596 is 8454076

GCF of denominators i.e. for 414,747 is 9.

Thus, LCM of Fractions is 8454076/9.Finally, LCM of Fractions for 3524/414, 9596/747 is 8454076/9.