Least Common Multiple of 715/48, 684/3584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 715/48, 684/3584 quickly i.e. 489060/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 715/48, 684/3584 is 489060/16.

LCM(715/48, 684/3584) = 489060/16

LCM of 715/48, 684/3584

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 715/48,684/3584

Given numbers are 715/48,684/3584

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 715,684

Least Common Multiple of Numerators i.e. LCM of 715,684 is 489060.

GCF of Denominators means GCF of 48,3584 as per the given fractions.

GCF of 48,3584 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 715,684

LCM of Fractions 715/48,684/3584 is 489060/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 489060

Least Common Multiple of 715,684 with GCF Formula

Least Common Multiple of 715,684 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 715,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,684) = 1

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

GCF(715,684) x common factors =1 x 1 = 1

LCM(715,684) = ( 715 × 684 ) / 1

LCM(715,684) = 489060 / 1

LCM(715,684) = 489060


Lets's calculate GCF of 48,3584

2 48, 3584
2 24, 1792
2 12, 896
2 6, 448
3, 224

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489060/16

Therefore the LCM of Fractions 715/48,684/3584 is 489060/16

Greatest Common Factor of 48,3584 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,3584 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 3584

List of positive integer factors of 3584 that divides 3584 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1792,3584

Greatest Common Factor

We found the factors 48,3584 . The biggest common factor number is the GCF number.
So the greatest common factor 48,3584 is 16.


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 715/48, 684/3584

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 715/48, 684/3584?

Answer: LCM of Numerators as per given numbers 715/48, 684/3584 is

LCM of Numerators i.e. for 715,684 is 489060

GCF of denominators i.e. for 48,3584 is 16.

Thus, LCM of Fractions is 489060/16.Finally, LCM of Fractions for 715/48, 684/3584 is 489060/16.