Least Common Multiple of 9645/420, 8110/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9645/420, 8110/531 quickly i.e. 5214730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9645/420, 8110/531 is 5214730.

LCM(9645/420, 8110/531) = 5214730

LCM of 9645/420, 8110/531

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 9645/420,8110/531

Given numbers are 9645/420,8110/531

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 9645,8110

Least Common Multiple of Numerators i.e. LCM of 9645,8110 is 15644190.

GCF of Denominators means GCF of 420,531 as per the given fractions.

GCF of 420,531 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9645,8110

LCM of Fractions 9645/420,8110/531 is 5214730

5 9645, 8110
1929, 1622

∴ So the LCM of the given numbers is 5 x 1929 x 1622 = 15644190

Least Common Multiple of 9645,8110 with GCF Formula

Least Common Multiple of 9645,8110 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 9645,8110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9645,8110) = 5

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

GCF(9645,8110) x common factors =5 x 1 = 5

LCM(9645,8110) = ( 9645 × 8110 ) / 5

LCM(9645,8110) = 78220950 / 5

LCM(9645,8110) = 15644190


Lets's calculate GCF of 420,531

3 420, 531
140, 177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15644190/3

Therefore the LCM of Fractions 9645/420,8110/531 is 5214730

Greatest Common Factor of 420,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,531 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 420,531 . The biggest common factor number is the GCF number.
So the greatest common factor 420,531 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 9645/420, 8110/531

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 9645/420, 8110/531?

Answer: LCM of Numerators as per given numbers 9645/420, 8110/531 is

LCM of Numerators i.e. for 9645,8110 is 15644190

GCF of denominators i.e. for 420,531 is 3.

Thus, LCM of Fractions is 5214730.Finally, LCM of Fractions for 9645/420, 8110/531 is 5214730.