Given numbers are 465,216,227,459,750

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

The LCM of 465,216,227,459,750 is 3229983000.

Find LCM of 465,216,227,459,750 with Prime Factorization

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

2 x 3 x 3 x 3 x 5 x 31 x 4 x 227 x 17 x 25 = 3229983000

Therefore, the lowest common multiple of 465,216,227,459,750 is 3229983000.

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.

465 x 216 x 227 x 459 x 750 = 7848858690000

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

227 : 1, 227

459 : 1, 3, 9, 17, 27, 51, 153, 459

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,216,227,459,750, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

216:2x 2x 2x 3x 3x 3

227:227

459:3x 3x 3x 17

750:2x 3x 5x 5x 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 3x 3x 3x 3x 3x 5 = 2430

Therefore, the value for common factors is 2430.

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 = 7848858690000/(1x2430)

LCM = 7848858690000/2430

LCM = 3229983000

Thus, we can understand that the LCM of 465,216,227,459,750 is 3229983000.

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

• LCM of 817, 123, 499, 192, 819
• LCM of 567, 221, 424, 993, 167
• LCM of 340, 531, 754, 654, 810
• LCM of 101, 385, 754, 487, 929
• LCM of 867, 565, 392, 367, 329

1. What is the LCM of 465, 216, 227, 459, 750?

Answer: LCM of 465, 216, 227, 459, 750 is 3229983000.

2. How to calculate the LCM of 465, 216, 227, 459, 750?

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 465, 216, 227, 459, 750.

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}.