Given numbers are 468,528,416,307,497

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

The LCM of 468,528,416,307,497 is 6283813536.

Find LCM of 468,528,416,307,497 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 3 x 11 x 2 x 307 x 497 = 6283813536

Therefore, the lowest common multiple of 468,528,416,307,497 is 6283813536.

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.

468 x 528 x 416 x 307 x 497 = 15684398585856

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

307 : 1, 307

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,528,416,307,497, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

528:2x 2x 2x 2x 3x 11

416:2x 2x 2x 2x 2x 13

307:307

497:7x 71

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 2x 3x 13 = 2496

Therefore, the value for common factors is 2496.

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 = 15684398585856/(1x2496)

LCM = 15684398585856/2496

LCM = 6283813536

Thus, we can understand that the LCM of 468,528,416,307,497 is 6283813536.

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

• LCM of 530, 258, 287, 131, 772
• LCM of 692, 595, 496, 817, 451
• LCM of 744, 215, 410, 385, 915
• LCM of 998, 201, 651, 995, 538
• LCM of 259, 878, 193, 123, 190

1. What is the LCM of 468, 528, 416, 307, 497?

Answer: LCM of 468, 528, 416, 307, 497 is 6283813536.

2. How to calculate the LCM of 468, 528, 416, 307, 497?

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 468, 528, 416, 307, 497.

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}.