Least Common Multiple of 8664/124, 9530/9765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8664/124, 9530/9765 quickly i.e. 41283960/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8664/124, 9530/9765 is 41283960/31.

LCM(8664/124, 9530/9765) = 41283960/31

LCM of 8664/124, 9530/9765

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 8664/124,9530/9765

Given numbers are 8664/124,9530/9765

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 8664,9530

Least Common Multiple of Numerators i.e. LCM of 8664,9530 is 41283960.

GCF of Denominators means GCF of 124,9765 as per the given fractions.

GCF of 124,9765 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8664,9530

LCM of Fractions 8664/124,9530/9765 is 41283960/31

2 8664, 9530
4332, 4765

∴ So the LCM of the given numbers is 2 x 4332 x 4765 = 41283960

Least Common Multiple of 8664,9530 with GCF Formula

Least Common Multiple of 8664,9530 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 8664,9530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8664,9530) = 2

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

GCF(8664,9530) x common factors =2 x 1 = 2

LCM(8664,9530) = ( 8664 × 9530 ) / 2

LCM(8664,9530) = 82567920 / 2

LCM(8664,9530) = 41283960


Lets's calculate GCF of 124,9765

31 124, 9765
4, 315

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41283960/31

Therefore the LCM of Fractions 8664/124,9530/9765 is 41283960/31

Greatest Common Factor of 124,9765 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,9765 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 9765

List of positive integer factors of 9765 that divides 9765 without a remainder.

1,3,5,7,9,15,21,31,35,45,63,93,105,155,217,279,315,465,651,1085,1395,1953,3255,9765

Greatest Common Factor

We found the factors 124,9765 . The biggest common factor number is the GCF number.
So the greatest common factor 124,9765 is 31.


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 8664/124, 9530/9765

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 8664/124, 9530/9765?

Answer: LCM of Numerators as per given numbers 8664/124, 9530/9765 is

LCM of Numerators i.e. for 8664,9530 is 41283960

GCF of denominators i.e. for 124,9765 is 31.

Thus, LCM of Fractions is 41283960/31.Finally, LCM of Fractions for 8664/124, 9530/9765 is 41283960/31.