Given numbers are 540,564,643,159,416

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

The LCM of 540,564,643,159,416 is 89952202080.

Find LCM of 540,564,643,159,416 with Prime Factorization

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

2 x 2 x 3 x 45 x 47 x 643 x 53 x 104 = 89952202080

Therefore, the lowest common multiple of 540,564,643,159,416 is 89952202080.

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.

540 x 564 x 643 x 159 x 416 = 12953117099520

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.

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

643 : 1, 643

159 : 1, 3, 53, 159

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,564,643,159,416, is 1.

Now, the common factors can be found like this.

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

564:2x 2x 3x 47

643:643

159:3x 53

416:2x 2x 2x 2x 2x 13

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 12953117099520/(1x144)

LCM = 12953117099520/144

LCM = 89952202080

Thus, we can understand that the LCM of 540,564,643,159,416 is 89952202080.

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

• LCM of 566, 320, 783, 371, 691
• LCM of 543, 792, 994, 783, 697
• LCM of 684, 608, 547, 938, 328
• LCM of 982, 683, 910, 979, 314
• LCM of 959, 436, 879, 607, 668

1. What is the LCM of 540, 564, 643, 159, 416?

Answer: LCM of 540, 564, 643, 159, 416 is 89952202080.

2. How to calculate the LCM of 540, 564, 643, 159, 416?

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 540, 564, 643, 159, 416.

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}.