Given numbers are 572,143,240,407,580

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

The LCM of 572,143,240,407,580 is 36825360.

Find LCM of 572,143,240,407,580 with Prime Factorization

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

2 x 2 x 5 x 11 x 13 x 1 x 1 x 12 x 37 x 29 = 36825360

Therefore, the lowest common multiple of 572,143,240,407,580 is 36825360.

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.

572 x 143 x 240 x 407 x 580 = 4634103302400

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

143 : 1, 11, 13, 143

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

407 : 1, 11, 37, 407

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,143,240,407,580, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

143:11x 13

240:2x 2x 2x 2x 3x 5

407:11x 37

580:2x 2x 5x 29

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 5x 11x 11x 13 = 125840

Therefore, the value for common factors is 125840.

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 = 4634103302400/(1x125840)

LCM = 4634103302400/125840

LCM = 36825360

Thus, we can understand that the LCM of 572,143,240,407,580 is 36825360.

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

• LCM of 762, 184, 428, 841, 360
• LCM of 230, 567, 296, 321, 647
• LCM of 293, 700, 632, 945, 646
• LCM of 882, 191, 281, 824, 111
• LCM of 469, 761, 701, 550, 708

1. What is the LCM of 572, 143, 240, 407, 580?

Answer: LCM of 572, 143, 240, 407, 580 is 36825360.

2. How to calculate the LCM of 572, 143, 240, 407, 580?

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 572, 143, 240, 407, 580.

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}.