LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 302, 993, 384, 108

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 302, 993, 384, 108 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 302, 993, 384, 108. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 302,993,384,108

Given numbers are 302,993,384,108

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 302,993,384,108 is 172734336.

Find LCM of 302,993,384,108 with Prime Factorization


2 302, 993, 384, 108
2 151, 993, 192, 54
3 151, 993, 96, 27
151, 331, 32, 9

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 151 x 331 x 32 x 9 = 172734336

Therefore, the lowest common multiple of 302,993,384,108 is 172734336.

LCM Formula to Find Lowest Common Multiple of 302,993,384,108

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

302 x 993 x 384 x 108 = 12436872192

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

302 : 1, 2, 151, 302

993 : 1, 3, 331, 993

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,993,384,108, is 1.

Now, the common factors can be found like this.

302:2x 151

993:3x 331

384:2x 2x 2x 2x 2x 2x 2x 3

108:2x 2x 3x 3x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 12436872192/(1x72)

LCM = 12436872192/72

LCM = 172734336

Thus, we can understand that the LCM of 302,993,384,108 is 172734336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 302, 993, 384, 108

1. What is the LCM of 302, 993, 384, 108?

Answer: LCM of 302, 993, 384, 108 is 172734336.

2. How to calculate the LCM of 302, 993, 384, 108?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 302, 993, 384, 108.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.