Given numbers are 517,288,554,420,330

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

The LCM of 517,288,554,420,330 is 1443546720.

Find LCM of 517,288,554,420,330 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 47 x 24 x 277 x 7 x 1 = 1443546720

Therefore, the lowest common multiple of 517,288,554,420,330 is 1443546720.

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.

517 x 288 x 554 x 420 x 330 = 11432890022400

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.

517 : 1, 11, 47, 517

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

554 : 1, 2, 277, 554

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,288,554,420,330, is 1.

Now, the common factors can be found like this.

517:11x 47

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

554:2x 277

420:2x 2x 3x 5x 7

330:2x 3x 5x 11

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 3x 3x 5x 11 = 7920

Therefore, the value for common factors is 7920.

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 = 11432890022400/(1x7920)

LCM = 11432890022400/7920

LCM = 1443546720

Thus, we can understand that the LCM of 517,288,554,420,330 is 1443546720.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 141, 635, 281, 497, 599
• LCM of 214, 950, 798, 801, 135
• LCM of 664, 301, 566, 339, 222
• LCM of 705, 694, 122, 924, 595
• LCM of 424, 744, 908, 692, 896

1. What is the LCM of 517, 288, 554, 420, 330?

Answer: LCM of 517, 288, 554, 420, 330 is 1443546720.

2. How to calculate the LCM of 517, 288, 554, 420, 330?

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 517, 288, 554, 420, 330.

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}.