Least Common Multiple of 3688/720, 9643/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3688/720, 9643/546 quickly i.e. 35563384/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3688/720, 9643/546 is 35563384/6.

LCM(3688/720, 9643/546) = 35563384/6

LCM of 3688/720, 9643/546

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 3688/720,9643/546

Given numbers are 3688/720,9643/546

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 3688,9643

Least Common Multiple of Numerators i.e. LCM of 3688,9643 is 35563384.

GCF of Denominators means GCF of 720,546 as per the given fractions.

GCF of 720,546 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3688,9643

LCM of Fractions 3688/720,9643/546 is 35563384/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 35563384

Least Common Multiple of 3688,9643 with GCF Formula

Least Common Multiple of 3688,9643 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 3688,9643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3688,9643) = 1

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

GCF(3688,9643) x common factors =1 x 1 = 1

LCM(3688,9643) = ( 3688 × 9643 ) / 1

LCM(3688,9643) = 35563384 / 1

LCM(3688,9643) = 35563384


Lets's calculate GCF of 720,546

2 720, 546
3 360, 273
120, 91

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35563384/6

Therefore the LCM of Fractions 3688/720,9643/546 is 35563384/6

Greatest Common Factor of 720,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,546 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 720,546 . The biggest common factor number is the GCF number.
So the greatest common factor 720,546 is 6.


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 3688/720, 9643/546

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 3688/720, 9643/546?

Answer: LCM of Numerators as per given numbers 3688/720, 9643/546 is

LCM of Numerators i.e. for 3688,9643 is 35563384

GCF of denominators i.e. for 720,546 is 6.

Thus, LCM of Fractions is 35563384/6.Finally, LCM of Fractions for 3688/720, 9643/546 is 35563384/6.