Given numbers are 462,580,756,952

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

The LCM of 462,580,756,952 is 40997880.

Find LCM of 462,580,756,952 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 145 x 9 x 34 = 40997880

Therefore, the lowest common multiple of 462,580,756,952 is 40997880.

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.

462 x 580 x 756 x 952 = 192854027520

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,580,756,952, is 2.

Now, the common factors can be found like this.

462:2x 3x 7x 11

580:2x 2x 5x 29

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

952:2x 2x 2x 7x 17

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 7x 7 = 2352

Therefore, the value for common factors is 2352.

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 = 192854027520/(2x2352)

LCM = 192854027520/4704

LCM = 40997880

Thus, we can understand that the LCM of 462,580,756,952 is 40997880.

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

• LCM of 260, 875, 477, 892
• LCM of 535, 320, 248, 242
• LCM of 824, 172, 926, 877
• LCM of 333, 843, 273, 868
• LCM of 715, 201, 234, 572

1. What is the LCM of 462, 580, 756, 952?

Answer: LCM of 462, 580, 756, 952 is 40997880.

2. How to calculate the LCM of 462, 580, 756, 952?

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 462, 580, 756, 952.

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}.