Given numbers are 540,104,564,639,588

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

The LCM of 540,104,564,639,588 is 2295722520.

Find LCM of 540,104,564,639,588 with Prime Factorization

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

2 x 2 x 3 x 3 x 15 x 26 x 47 x 71 x 49 = 2295722520

Therefore, the lowest common multiple of 540,104,564,639,588 is 2295722520.

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 104 x 564 x 639 x 588 = 11901025543680

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

639 : 1, 3, 9, 71, 213, 639

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,104,564,639,588, is 1.

Now, the common factors can be found like this.

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

104:2x 2x 2x 13

564:2x 2x 3x 47

639:3x 3x 71

588:2x 2x 3x 7x 7

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 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 11901025543680/(1x5184)

LCM = 11901025543680/5184

LCM = 2295722520

Thus, we can understand that the LCM of 540,104,564,639,588 is 2295722520.

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

• LCM of 536, 476, 487, 710, 134
• LCM of 763, 150, 165, 959, 332
• LCM of 117, 125, 903, 671, 716
• LCM of 276, 953, 643, 672, 500
• LCM of 765, 655, 954, 337, 756

1. What is the LCM of 540, 104, 564, 639, 588?

Answer: LCM of 540, 104, 564, 639, 588 is 2295722520.

2. How to calculate the LCM of 540, 104, 564, 639, 588?

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, 104, 564, 639, 588.

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}.