Least Common Multiple of 608/721, 6424/8190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 608/721, 6424/8190 quickly i.e. 488224/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 608/721, 6424/8190 is 488224/7.

LCM(608/721, 6424/8190) = 488224/7

LCM of 608/721, 6424/8190

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 608/721,6424/8190

Given numbers are 608/721,6424/8190

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 608,6424

Least Common Multiple of Numerators i.e. LCM of 608,6424 is 488224.

GCF of Denominators means GCF of 721,8190 as per the given fractions.

GCF of 721,8190 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 608,6424

LCM of Fractions 608/721,6424/8190 is 488224/7

2 608, 6424
2 304, 3212
2 152, 1606
76, 803

∴ So the LCM of the given numbers is 2 x 2 x 2 x 76 x 803 = 488224

Least Common Multiple of 608,6424 with GCF Formula

Least Common Multiple of 608,6424 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 608,6424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,6424) = 8

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

GCF(608,6424) x common factors =8 x 1 = 8

LCM(608,6424) = ( 608 × 6424 ) / 8

LCM(608,6424) = 3905792 / 8

LCM(608,6424) = 488224


Lets's calculate GCF of 721,8190

7 721, 8190
103, 1170

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488224/7

Therefore the LCM of Fractions 608/721,6424/8190 is 488224/7

Greatest Common Factor of 721,8190 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,8190 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 8190

List of positive integer factors of 8190 that divides 8190 without a remainder.

1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190

Greatest Common Factor

We found the factors 721,8190 . The biggest common factor number is the GCF number.
So the greatest common factor 721,8190 is 7.


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 608/721, 6424/8190

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 608/721, 6424/8190?

Answer: LCM of Numerators as per given numbers 608/721, 6424/8190 is

LCM of Numerators i.e. for 608,6424 is 488224

GCF of denominators i.e. for 721,8190 is 7.

Thus, LCM of Fractions is 488224/7.Finally, LCM of Fractions for 608/721, 6424/8190 is 488224/7.