Least Common Multiple of 3575/734, 9728/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3575/734, 9728/516 quickly i.e. 17388800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3575/734, 9728/516 is 17388800.

LCM(3575/734, 9728/516) = 17388800

LCM of 3575/734, 9728/516

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 3575/734,9728/516

Given numbers are 3575/734,9728/516

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 3575,9728

Least Common Multiple of Numerators i.e. LCM of 3575,9728 is 34777600.

GCF of Denominators means GCF of 734,516 as per the given fractions.

GCF of 734,516 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3575,9728

LCM of Fractions 3575/734,9728/516 is 17388800

Given numbers has no common factors except 1. So, there LCM is their product i.e 34777600

Least Common Multiple of 3575,9728 with GCF Formula

Least Common Multiple of 3575,9728 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 3575,9728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3575,9728) = 1

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

GCF(3575,9728) x common factors =1 x 1 = 1

LCM(3575,9728) = ( 3575 × 9728 ) / 1

LCM(3575,9728) = 34777600 / 1

LCM(3575,9728) = 34777600


Lets's calculate GCF of 734,516

2 734, 516
367, 258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34777600/2

Therefore the LCM of Fractions 3575/734,9728/516 is 17388800

Greatest Common Factor of 734,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,516 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 734,516 . The biggest common factor number is the GCF number.
So the greatest common factor 734,516 is 2.


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 3575/734, 9728/516

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 3575/734, 9728/516?

Answer: LCM of Numerators as per given numbers 3575/734, 9728/516 is

LCM of Numerators i.e. for 3575,9728 is 34777600

GCF of denominators i.e. for 734,516 is 2.

Thus, LCM of Fractions is 17388800.Finally, LCM of Fractions for 3575/734, 9728/516 is 17388800.