Given numbers are 756,460,461,517

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

The LCM of 756,460,461,517 is 20721018780.

Find LCM of 756,460,461,517 with Prime Factorization

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

2 x 2 x 189 x 115 x 461 x 517 = 20721018780

Therefore, the lowest common multiple of 756,460,461,517 is 20721018780.

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 460 x 461 x 517 = 82884075120

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

461 : 1, 461

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,460,461,517, is 1.

Now, the common factors can be found like this.

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

460:2x 2x 5x 23

461:461

517:11x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 82884075120/(1x4)

LCM = 82884075120/4

LCM = 20721018780

Thus, we can understand that the LCM of 756,460,461,517 is 20721018780.

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

• LCM of 475, 576, 669, 662
• LCM of 991, 805, 860, 931
• LCM of 330, 934, 113, 748
• LCM of 682, 498, 492, 829
• LCM of 394, 487, 622, 570

1. What is the LCM of 756, 460, 461, 517?

Answer: LCM of 756, 460, 461, 517 is 20721018780.

2. How to calculate the LCM of 756, 460, 461, 517?

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, 460, 461, 517.

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}.