Least Common Multiple of 4632/795, 9360/8784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4632/795, 9360/8784 quickly i.e. 602160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4632/795, 9360/8784 is 602160.

LCM(4632/795, 9360/8784) = 602160

LCM of 4632/795, 9360/8784

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 4632/795,9360/8784

Given numbers are 4632/795,9360/8784

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 4632,9360

Least Common Multiple of Numerators i.e. LCM of 4632,9360 is 1806480.

GCF of Denominators means GCF of 795,8784 as per the given fractions.

GCF of 795,8784 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4632,9360

LCM of Fractions 4632/795,9360/8784 is 602160

2 4632, 9360
2 2316, 4680
2 1158, 2340
3 579, 1170
193, 390

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 193 x 390 = 1806480

Least Common Multiple of 4632,9360 with GCF Formula

Least Common Multiple of 4632,9360 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 4632,9360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4632,9360) = 24

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

GCF(4632,9360) x common factors =24 x 1 = 24

LCM(4632,9360) = ( 4632 × 9360 ) / 24

LCM(4632,9360) = 43355520 / 24

LCM(4632,9360) = 1806480


Lets's calculate GCF of 795,8784

3 795, 8784
265, 2928

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1806480/3

Therefore the LCM of Fractions 4632/795,9360/8784 is 602160

Greatest Common Factor of 795,8784 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,8784 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 8784

List of positive integer factors of 8784 that divides 8784 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784

Greatest Common Factor

We found the factors 795,8784 . The biggest common factor number is the GCF number.
So the greatest common factor 795,8784 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 4632/795, 9360/8784

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 4632/795, 9360/8784?

Answer: LCM of Numerators as per given numbers 4632/795, 9360/8784 is

LCM of Numerators i.e. for 4632,9360 is 1806480

GCF of denominators i.e. for 795,8784 is 3.

Thus, LCM of Fractions is 602160.Finally, LCM of Fractions for 4632/795, 9360/8784 is 602160.