Given numbers are 446,288,540,316,476

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

The LCM of 446,288,540,316,476 is 9056547360.

Find LCM of 446,288,540,316,476 with Prime Factorization

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

2 x 2 x 3 x 3 x 223 x 8 x 15 x 79 x 119 = 9056547360

Therefore, the lowest common multiple of 446,288,540,316,476 is 9056547360.

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.

446 x 288 x 540 x 316 x 476 = 10433142558720

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.

446 : 1, 2, 223, 446

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

316 : 1, 2, 4, 79, 158, 316

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,288,540,316,476, is 2.

Now, the common factors can be found like this.

446:2x 223

288:2x 2x 2x 2x 2x 3x 3

540:2x 2x 3x 3x 3x 5

316:2x 2x 79

476:2x 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 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 10433142558720/(2x576)

LCM = 10433142558720/1152

LCM = 9056547360

Thus, we can understand that the LCM of 446,288,540,316,476 is 9056547360.

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

• LCM of 950, 105, 615, 140, 549
• LCM of 543, 909, 425, 262, 695
• LCM of 965, 599, 310, 590, 619
• LCM of 583, 712, 571, 989, 265
• LCM of 105, 575, 603, 480, 682

1. What is the LCM of 446, 288, 540, 316, 476?

Answer: LCM of 446, 288, 540, 316, 476 is 9056547360.

2. How to calculate the LCM of 446, 288, 540, 316, 476?

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 446, 288, 540, 316, 476.

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}.