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LCM of 288, 360, 467, 314, 390

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


Find the LCM of 288, 360, 467, 314, 390 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 288, 360, 467, 314, 390. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 288,360,467,314,390

Given numbers are 288,360,467,314,390

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

The LCM of 288,360,467,314,390 is 1372531680.

Find LCM of 288,360,467,314,390 with Prime Factorization


2 288, 360, 467, 314, 390
2 144, 180, 467, 157, 195
2 72, 90, 467, 157, 195
3 36, 45, 467, 157, 195
3 12, 15, 467, 157, 65
5 4, 5, 467, 157, 65
4, 1, 467, 157, 13

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

2 x 2 x 2 x 3 x 3 x 5 x 4 x 1 x 467 x 157 x 13 = 1372531680

Therefore, the lowest common multiple of 288,360,467,314,390 is 1372531680.

LCM Formula to Find Lowest Common Multiple of 288,360,467,314,390

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.

288 x 360 x 467 x 314 x 390 = 5929336857600

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

467 : 1, 467

314 : 1, 2, 157, 314

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,360,467,314,390, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

360:2x 2x 2x 3x 3x 5

467:467

314:2x 157

390:2x 3x 5x 13

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 2x 2x 3x 3x 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 5929336857600/(1x4320)

LCM = 5929336857600/4320

LCM = 1372531680

Thus, we can understand that the LCM of 288,360,467,314,390 is 1372531680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 288, 360, 467, 314, 390

1. What is the LCM of 288, 360, 467, 314, 390?

Answer: LCM of 288, 360, 467, 314, 390 is 1372531680.

2. How to calculate the LCM of 288, 360, 467, 314, 390?

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 288, 360, 467, 314, 390.

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}.