Given numbers are 756,528,297,457,647

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

The LCM of 756,528,297,457,647 is 9835466256.

Find LCM of 756,528,297,457,647 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 11 x 7 x 4 x 1 x 457 x 647 = 9835466256

Therefore, the lowest common multiple of 756,528,297,457,647 is 9835466256.

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.

756 x 528 x 297 x 457 x 647 = 35053601736384

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

297 : 1, 3, 9, 11, 27, 33, 99, 297

457 : 1, 457

647 : 1, 647

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,528,297,457,647, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

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

297:3x 3x 3x 11

457:457

647:647

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 3x 3x 3x 3x 11 = 3564

Therefore, the value for common factors is 3564.

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 = 35053601736384/(1x3564)

LCM = 35053601736384/3564

LCM = 9835466256

Thus, we can understand that the LCM of 756,528,297,457,647 is 9835466256.

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

• LCM of 659, 734, 372, 377, 723
• LCM of 199, 715, 274, 460, 369
• LCM of 907, 195, 259, 590, 290
• LCM of 171, 343, 278, 826, 155
• LCM of 406, 554, 192, 949, 383

1. What is the LCM of 756, 528, 297, 457, 647?

Answer: LCM of 756, 528, 297, 457, 647 is 9835466256.

2. How to calculate the LCM of 756, 528, 297, 457, 647?

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 756, 528, 297, 457, 647.

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}.