Given numbers are 480,461,983,694,998

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

The LCM of 480,461,983,694,998 is 37663935810720.

Find LCM of 480,461,983,694,998 with Prime Factorization

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

2 x 240 x 461 x 983 x 347 x 499 = 37663935810720

Therefore, the lowest common multiple of 480,461,983,694,998 is 37663935810720.

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.

480 x 461 x 983 x 694 x 998 = 150655743242880

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

461 : 1, 461

983 : 1, 983

694 : 1, 2, 347, 694

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,461,983,694,998, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

461:461

983:983

694:2x 347

998:2x 499

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 = 150655743242880/(1x4)

LCM = 150655743242880/4

LCM = 37663935810720

Thus, we can understand that the LCM of 480,461,983,694,998 is 37663935810720.

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

• LCM of 993, 570, 813, 749, 635
• LCM of 330, 702, 924, 581, 870
• LCM of 194, 717, 617, 481, 957
• LCM of 105, 474, 819, 349, 922
• LCM of 858, 486, 608, 981, 719

1. What is the LCM of 480, 461, 983, 694, 998?

Answer: LCM of 480, 461, 983, 694, 998 is 37663935810720.

2. How to calculate the LCM of 480, 461, 983, 694, 998?

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 480, 461, 983, 694, 998.

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}.