Given numbers are 415,218,466,756

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

The LCM of 415,218,466,756 is 7968054780.

Find LCM of 415,218,466,756 with Prime Factorization

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

2 x 415 x 109 x 233 x 378 = 7968054780

Therefore, the lowest common multiple of 415,218,466,756 is 7968054780.

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.

415 x 218 x 466 x 756 = 31872219120

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.

415 : 1, 5, 83, 415

218 : 1, 2, 109, 218

466 : 1, 2, 233, 466

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,218,466,756, is 1.

Now, the common factors can be found like this.

415:5x 83

218:2x 109

466:2x 233

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

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 = 31872219120/(1x4)

LCM = 31872219120/4

LCM = 7968054780

Thus, we can understand that the LCM of 415,218,466,756 is 7968054780.

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

• LCM of 296, 513, 243, 898
• LCM of 454, 244, 252, 605
• LCM of 869, 173, 397, 614
• LCM of 615, 388, 942, 866
• LCM of 549, 729, 279, 713

1. What is the LCM of 415, 218, 466, 756?

Answer: LCM of 415, 218, 466, 756 is 7968054780.

2. How to calculate the LCM of 415, 218, 466, 756?

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 415, 218, 466, 756.

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}.