Least Common Multiple of 961/720, 6225/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 961/720, 6225/219 quickly i.e. 1994075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 961/720, 6225/219 is 1994075.

LCM(961/720, 6225/219) = 1994075

LCM of 961/720, 6225/219

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 961/720,6225/219

Given numbers are 961/720,6225/219

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 961,6225

Least Common Multiple of Numerators i.e. LCM of 961,6225 is 5982225.

GCF of Denominators means GCF of 720,219 as per the given fractions.

GCF of 720,219 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 961,6225

LCM of Fractions 961/720,6225/219 is 1994075

Given numbers has no common factors except 1. So, there LCM is their product i.e 5982225

Least Common Multiple of 961,6225 with GCF Formula

Least Common Multiple of 961,6225 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 961,6225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,6225) = 1

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

GCF(961,6225) x common factors =1 x 1 = 1

LCM(961,6225) = ( 961 × 6225 ) / 1

LCM(961,6225) = 5982225 / 1

LCM(961,6225) = 5982225


Lets's calculate GCF of 720,219

3 720, 219
240, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5982225/3

Therefore the LCM of Fractions 961/720,6225/219 is 1994075

Greatest Common Factor of 720,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,219 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 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 720,219 . The biggest common factor number is the GCF number.
So the greatest common factor 720,219 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 961/720, 6225/219

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 961/720, 6225/219?

Answer: LCM of Numerators as per given numbers 961/720, 6225/219 is

LCM of Numerators i.e. for 961,6225 is 5982225

GCF of denominators i.e. for 720,219 is 3.

Thus, LCM of Fractions is 1994075.Finally, LCM of Fractions for 961/720, 6225/219 is 1994075.