Given numbers are 470,154,158,541,324

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

The LCM of 470,154,158,541,324 is 250569354420.

Find LCM of 470,154,158,541,324 with Prime Factorization

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

2 x 235 x 77 x 79 x 541 x 162 = 250569354420

Therefore, the lowest common multiple of 470,154,158,541,324 is 250569354420.

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.

470 x 154 x 158 x 541 x 324 = 2004554835360

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

154 : 1, 2, 7, 11, 14, 22, 77, 154

158 : 1, 2, 79, 158

541 : 1, 541

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,154,158,541,324, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

154:2x 7x 11

158:2x 79

541:541

324:2x 2x 3x 3x 3x 3

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2004554835360/(1x8)

LCM = 2004554835360/8

LCM = 250569354420

Thus, we can understand that the LCM of 470,154,158,541,324 is 250569354420.

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

• LCM of 148, 678, 560, 253, 715
• LCM of 655, 842, 701, 846, 425
• LCM of 107, 745, 113, 110, 655
• LCM of 952, 404, 392, 945, 999
• LCM of 693, 665, 516, 727, 359

1. What is the LCM of 470, 154, 158, 541, 324?

Answer: LCM of 470, 154, 158, 541, 324 is 250569354420.

2. How to calculate the LCM of 470, 154, 158, 541, 324?

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 470, 154, 158, 541, 324.

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}.