Least Common Multiple of 612/16, 9552/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 612/16, 9552/230 quickly i.e. 243576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/16, 9552/230 is 243576.

LCM(612/16, 9552/230) = 243576

LCM of 612/16, 9552/230

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 612/16,9552/230

Given numbers are 612/16,9552/230

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 612,9552

Least Common Multiple of Numerators i.e. LCM of 612,9552 is 487152.

GCF of Denominators means GCF of 16,230 as per the given fractions.

GCF of 16,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,9552

LCM of Fractions 612/16,9552/230 is 243576

2 612, 9552
2 306, 4776
3 153, 2388
51, 796

∴ So the LCM of the given numbers is 2 x 2 x 3 x 51 x 796 = 487152

Least Common Multiple of 612,9552 with GCF Formula

Least Common Multiple of 612,9552 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 612,9552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,9552) = 12

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

GCF(612,9552) x common factors =12 x 1 = 12

LCM(612,9552) = ( 612 × 9552 ) / 12

LCM(612,9552) = 5845824 / 12

LCM(612,9552) = 487152


Lets's calculate GCF of 16,230

2 16, 230
8, 115

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487152/2

Therefore the LCM of Fractions 612/16,9552/230 is 243576

Greatest Common Factor of 16,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,230 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 16,230 . The biggest common factor number is the GCF number.
So the greatest common factor 16,230 is 2.


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 612/16, 9552/230

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 612/16, 9552/230?

Answer: LCM of Numerators as per given numbers 612/16, 9552/230 is

LCM of Numerators i.e. for 612,9552 is 487152

GCF of denominators i.e. for 16,230 is 2.

Thus, LCM of Fractions is 243576.Finally, LCM of Fractions for 612/16, 9552/230 is 243576.