Given numbers are 461,352,398,501

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

The LCM of 461,352,398,501 is 16178356128.

Find LCM of 461,352,398,501 with Prime Factorization

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

2 x 461 x 176 x 199 x 501 = 16178356128

Therefore, the lowest common multiple of 461,352,398,501 is 16178356128.

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.

461 x 352 x 398 x 501 = 32356712256

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.

461 : 1, 461

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

398 : 1, 2, 199, 398

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,352,398,501, is 1.

Now, the common factors can be found like this.

461:461

352:2x 2x 2x 2x 2x 11

398:2x 199

501:3x 167

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

2 = 2

Therefore, the value for common factors is 2.

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 = 32356712256/(1x2)

LCM = 32356712256/2

LCM = 16178356128

Thus, we can understand that the LCM of 461,352,398,501 is 16178356128.

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

• LCM of 892, 475, 197, 419
• LCM of 434, 579, 696, 708
• LCM of 971, 585, 399, 459
• LCM of 606, 743, 536, 758
• LCM of 205, 621, 538, 397

1. What is the LCM of 461, 352, 398, 501?

Answer: LCM of 461, 352, 398, 501 is 16178356128.

2. How to calculate the LCM of 461, 352, 398, 501?

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 461, 352, 398, 501.

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}.