Least Common Multiple of 3984/280, 9471/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3984/280, 9471/562 quickly i.e. 6288744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3984/280, 9471/562 is 6288744.

LCM(3984/280, 9471/562) = 6288744

LCM of 3984/280, 9471/562

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 3984/280,9471/562

Given numbers are 3984/280,9471/562

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 3984,9471

Least Common Multiple of Numerators i.e. LCM of 3984,9471 is 12577488.

GCF of Denominators means GCF of 280,562 as per the given fractions.

GCF of 280,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3984,9471

LCM of Fractions 3984/280,9471/562 is 6288744

3 3984, 9471
1328, 3157

∴ So the LCM of the given numbers is 3 x 1328 x 3157 = 12577488

Least Common Multiple of 3984,9471 with GCF Formula

Least Common Multiple of 3984,9471 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 3984,9471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3984,9471) = 3

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

GCF(3984,9471) x common factors =3 x 1 = 3

LCM(3984,9471) = ( 3984 × 9471 ) / 3

LCM(3984,9471) = 37732464 / 3

LCM(3984,9471) = 12577488


Lets's calculate GCF of 280,562

2 280, 562
140, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12577488/2

Therefore the LCM of Fractions 3984/280,9471/562 is 6288744

Greatest Common Factor of 280,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,562 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 280,562 . The biggest common factor number is the GCF number.
So the greatest common factor 280,562 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 3984/280, 9471/562

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 3984/280, 9471/562?

Answer: LCM of Numerators as per given numbers 3984/280, 9471/562 is

LCM of Numerators i.e. for 3984,9471 is 12577488

GCF of denominators i.e. for 280,562 is 2.

Thus, LCM of Fractions is 6288744.Finally, LCM of Fractions for 3984/280, 9471/562 is 6288744.