Least Common Multiple of 343/27, 432/72, 720/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/27, 432/72, 720/783 quickly i.e. 82320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/27, 432/72, 720/783 is 82320.

LCM(343/27, 432/72, 720/783) = 82320

LCM of 343/27, 432/72, 720/783

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 343/27,432/72,720/783

Given numbers are 343/27,432/72,720/783

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 343,432,720

Least Common Multiple of Numerators i.e. LCM of 343,432,720 is 740880.

GCF of Denominators means GCF of 27,72,783 as per the given fractions.

GCF of 27,72,783 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,432,720

LCM of Fractions 343/27,432/72,720/783 is 82320

2 343, 432, 720
2 343, 216, 360
2 343, 108, 180
2 343, 54, 90
3 343, 27, 45
3 343, 9, 15
343, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 343 x 3 x 5 = 740880

Least Common Multiple of 343,432,720 with GCF Formula

Least Common Multiple of 343,432,720 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 343,432,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,432,720) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(343,432,720) x common factors =1 x 144 = 144

LCM(343,432,720) = ( 343 × 432 × 720 ) / 144

LCM(343,432,720) = 106686720 / 144

LCM(343,432,720) = 740880


Lets's calculate GCF of 27,72,783

3 27, 72, 783
3 9, 24, 261
3, 8, 87

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 740880/9

Therefore the LCM of Fractions 343/27,432/72,720/783 is 82320

Greatest Common Factor of 27,72,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,72,783 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 27,72,783 . The biggest common factor number is the GCF number.
So the greatest common factor 27,72,783 is 9.


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 343/27, 432/72, 720/783

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 343/27, 432/72, 720/783?

Answer: LCM of Numerators as per given numbers 343/27, 432/72, 720/783 is

LCM of Numerators i.e. for 343,432,720 is 740880

GCF of denominators i.e. for 27,72,783 is 9.

Thus, LCM of Fractions is 82320.Finally, LCM of Fractions for 343/27, 432/72, 720/783 is 82320.