Least Common Multiple of 9784/534, 4538/7455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9784/534, 4538/7455 quickly i.e. 22199896/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9784/534, 4538/7455 is 22199896/3.

LCM(9784/534, 4538/7455) = 22199896/3

LCM of 9784/534, 4538/7455

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 9784/534,4538/7455

Given numbers are 9784/534,4538/7455

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 9784,4538

Least Common Multiple of Numerators i.e. LCM of 9784,4538 is 22199896.

GCF of Denominators means GCF of 534,7455 as per the given fractions.

GCF of 534,7455 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9784,4538

LCM of Fractions 9784/534,4538/7455 is 22199896/3

2 9784, 4538
4892, 2269

∴ So the LCM of the given numbers is 2 x 4892 x 2269 = 22199896

Least Common Multiple of 9784,4538 with GCF Formula

Least Common Multiple of 9784,4538 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 9784,4538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9784,4538) = 2

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

GCF(9784,4538) x common factors =2 x 1 = 2

LCM(9784,4538) = ( 9784 × 4538 ) / 2

LCM(9784,4538) = 44399792 / 2

LCM(9784,4538) = 22199896


Lets's calculate GCF of 534,7455

3 534, 7455
178, 2485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22199896/3

Therefore the LCM of Fractions 9784/534,4538/7455 is 22199896/3

Greatest Common Factor of 534,7455 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,7455 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 7455

List of positive integer factors of 7455 that divides 7455 without a remainder.

1,3,5,7,15,21,35,71,105,213,355,497,1065,1491,2485,7455

Greatest Common Factor

We found the factors 534,7455 . The biggest common factor number is the GCF number.
So the greatest common factor 534,7455 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 9784/534, 4538/7455

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 9784/534, 4538/7455?

Answer: LCM of Numerators as per given numbers 9784/534, 4538/7455 is

LCM of Numerators i.e. for 9784,4538 is 22199896

GCF of denominators i.e. for 534,7455 is 3.

Thus, LCM of Fractions is 22199896/3.Finally, LCM of Fractions for 9784/534, 4538/7455 is 22199896/3.