Given numbers are 587,522,390,202,724

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

The LCM of 587,522,390,202,724 is 728202063420.

Find LCM of 587,522,390,202,724 with Prime Factorization

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

2 x 3 x 587 x 87 x 65 x 101 x 362 = 728202063420

Therefore, the lowest common multiple of 587,522,390,202,724 is 728202063420.

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.

587 x 522 x 390 x 202 x 724 = 17476849522080

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.

587 : 1, 587

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

202 : 1, 2, 101, 202

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,522,390,202,724, is 1.

Now, the common factors can be found like this.

587:587

522:2x 3x 3x 29

390:2x 3x 5x 13

202:2x 101

724:2x 2x 181

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 3 = 24

Therefore, the value for common factors is 24.

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 = 17476849522080/(1x24)

LCM = 17476849522080/24

LCM = 728202063420

Thus, we can understand that the LCM of 587,522,390,202,724 is 728202063420.

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

• LCM of 440, 817, 874, 315, 403
• LCM of 794, 274, 578, 515, 428
• LCM of 676, 713, 227, 439, 212
• LCM of 139, 846, 496, 550, 595
• LCM of 886, 425, 265, 701, 624

1. What is the LCM of 587, 522, 390, 202, 724?

Answer: LCM of 587, 522, 390, 202, 724 is 728202063420.

2. How to calculate the LCM of 587, 522, 390, 202, 724?

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 587, 522, 390, 202, 724.

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}.