Given numbers are 450,732,415,651,360

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

The LCM of 450,732,415,651,360 is 1977607800.

Find LCM of 450,732,415,651,360 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 5 x 61 x 83 x 217 x 2 = 1977607800

Therefore, the lowest common multiple of 450,732,415,651,360 is 1977607800.

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.

450 x 732 x 415 x 651 x 360 = 32037246360000

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.

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

415 : 1, 5, 83, 415

651 : 1, 3, 7, 21, 31, 93, 217, 651

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,732,415,651,360, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

732:2x 2x 3x 61

415:5x 83

651:3x 7x 31

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

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 3x 3x 3x 5x 5 = 16200

Therefore, the value for common factors is 16200.

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 = 32037246360000/(1x16200)

LCM = 32037246360000/16200

LCM = 1977607800

Thus, we can understand that the LCM of 450,732,415,651,360 is 1977607800.

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

• LCM of 493, 860, 214, 294, 200
• LCM of 131, 854, 116, 275, 118
• LCM of 653, 376, 549, 111, 140
• LCM of 853, 329, 122, 416, 971
• LCM of 608, 141, 395, 362, 568

1. What is the LCM of 450, 732, 415, 651, 360?

Answer: LCM of 450, 732, 415, 651, 360 is 1977607800.

2. How to calculate the LCM of 450, 732, 415, 651, 360?

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 450, 732, 415, 651, 360.

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}.