Least Common Multiple of 9768/330, 3562/7554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9768/330, 3562/7554 quickly i.e. 2899468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9768/330, 3562/7554 is 2899468.

LCM(9768/330, 3562/7554) = 2899468

LCM of 9768/330, 3562/7554

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 9768/330,3562/7554

Given numbers are 9768/330,3562/7554

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 9768,3562

Least Common Multiple of Numerators i.e. LCM of 9768,3562 is 17396808.

GCF of Denominators means GCF of 330,7554 as per the given fractions.

GCF of 330,7554 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9768,3562

LCM of Fractions 9768/330,3562/7554 is 2899468

2 9768, 3562
4884, 1781

∴ So the LCM of the given numbers is 2 x 4884 x 1781 = 17396808

Least Common Multiple of 9768,3562 with GCF Formula

Least Common Multiple of 9768,3562 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 9768,3562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9768,3562) = 2

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

GCF(9768,3562) x common factors =2 x 1 = 2

LCM(9768,3562) = ( 9768 × 3562 ) / 2

LCM(9768,3562) = 34793616 / 2

LCM(9768,3562) = 17396808


Lets's calculate GCF of 330,7554

2 330, 7554
3 165, 3777
55, 1259

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17396808/6

Therefore the LCM of Fractions 9768/330,3562/7554 is 2899468

Greatest Common Factor of 330,7554 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,7554 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 7554

List of positive integer factors of 7554 that divides 7554 without a remainder.

1,2,3,6,1259,2518,3777,7554

Greatest Common Factor

We found the factors 330,7554 . The biggest common factor number is the GCF number.
So the greatest common factor 330,7554 is 6.


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 9768/330, 3562/7554

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 9768/330, 3562/7554?

Answer: LCM of Numerators as per given numbers 9768/330, 3562/7554 is

LCM of Numerators i.e. for 9768,3562 is 17396808

GCF of denominators i.e. for 330,7554 is 6.

Thus, LCM of Fractions is 2899468.Finally, LCM of Fractions for 9768/330, 3562/7554 is 2899468.