Least Common Multiple of 4320/705, 1503/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4320/705, 1503/780 quickly i.e. 48096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4320/705, 1503/780 is 48096.

LCM(4320/705, 1503/780) = 48096

LCM of 4320/705, 1503/780

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 4320/705,1503/780

Given numbers are 4320/705,1503/780

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 4320,1503

Least Common Multiple of Numerators i.e. LCM of 4320,1503 is 721440.

GCF of Denominators means GCF of 705,780 as per the given fractions.

GCF of 705,780 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4320,1503

LCM of Fractions 4320/705,1503/780 is 48096

3 4320, 1503
3 1440, 501
480, 167

∴ So the LCM of the given numbers is 3 x 3 x 480 x 167 = 721440

Least Common Multiple of 4320,1503 with GCF Formula

Least Common Multiple of 4320,1503 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 4320,1503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4320,1503) = 9

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

GCF(4320,1503) x common factors =9 x 1 = 9

LCM(4320,1503) = ( 4320 × 1503 ) / 9

LCM(4320,1503) = 6492960 / 9

LCM(4320,1503) = 721440


Lets's calculate GCF of 705,780

3 705, 780
5 235, 260
47, 52

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 721440/15

Therefore the LCM of Fractions 4320/705,1503/780 is 48096

Greatest Common Factor of 705,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,780 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 705,780 . The biggest common factor number is the GCF number.
So the greatest common factor 705,780 is 15.


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 4320/705, 1503/780

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 4320/705, 1503/780?

Answer: LCM of Numerators as per given numbers 4320/705, 1503/780 is

LCM of Numerators i.e. for 4320,1503 is 721440

GCF of denominators i.e. for 705,780 is 15.

Thus, LCM of Fractions is 48096.Finally, LCM of Fractions for 4320/705, 1503/780 is 48096.