Least Common Multiple of 30/618, 9326/8250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/618, 9326/8250 quickly i.e. 23315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/618, 9326/8250 is 23315.

LCM(30/618, 9326/8250) = 23315

LCM of 30/618, 9326/8250

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 30/618,9326/8250

Given numbers are 30/618,9326/8250

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 30,9326

Least Common Multiple of Numerators i.e. LCM of 30,9326 is 139890.

GCF of Denominators means GCF of 618,8250 as per the given fractions.

GCF of 618,8250 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,9326

LCM of Fractions 30/618,9326/8250 is 23315

2 30, 9326
15, 4663

∴ So the LCM of the given numbers is 2 x 15 x 4663 = 139890

Least Common Multiple of 30,9326 with GCF Formula

Least Common Multiple of 30,9326 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 30,9326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,9326) = 2

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

GCF(30,9326) x common factors =2 x 1 = 2

LCM(30,9326) = ( 30 × 9326 ) / 2

LCM(30,9326) = 279780 / 2

LCM(30,9326) = 139890


Lets's calculate GCF of 618,8250

2 618, 8250
3 309, 4125
103, 1375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139890/6

Therefore the LCM of Fractions 30/618,9326/8250 is 23315

Greatest Common Factor of 618,8250 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,8250 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 8250

List of positive integer factors of 8250 that divides 8250 without a remainder.

1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250

Greatest Common Factor

We found the factors 618,8250 . The biggest common factor number is the GCF number.
So the greatest common factor 618,8250 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 30/618, 9326/8250

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 30/618, 9326/8250?

Answer: LCM of Numerators as per given numbers 30/618, 9326/8250 is

LCM of Numerators i.e. for 30,9326 is 139890

GCF of denominators i.e. for 618,8250 is 6.

Thus, LCM of Fractions is 23315.Finally, LCM of Fractions for 30/618, 9326/8250 is 23315.