Given numbers are 587,478,104,782,723

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

The LCM of 587,478,104,782,723 is 4124624301096.

Find LCM of 587,478,104,782,723 with Prime Factorization

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

2 x 587 x 239 x 52 x 391 x 723 = 4124624301096

Therefore, the lowest common multiple of 587,478,104,782,723 is 4124624301096.

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 478 x 104 x 782 x 723 = 16498497204384

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

478 : 1, 2, 239, 478

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,478,104,782,723, is 1.

Now, the common factors can be found like this.

587:587

478:2x 239

104:2x 2x 2x 13

782:2x 17x 23

723:3x 241

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 16498497204384/(1x4)

LCM = 16498497204384/4

LCM = 4124624301096

Thus, we can understand that the LCM of 587,478,104,782,723 is 4124624301096.

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

• LCM of 433, 941, 378, 394, 145
• LCM of 841, 954, 118, 617, 903
• LCM of 535, 319, 178, 505, 939
• LCM of 392, 402, 834, 856, 366
• LCM of 809, 509, 300, 822, 466

1. What is the LCM of 587, 478, 104, 782, 723?

Answer: LCM of 587, 478, 104, 782, 723 is 4124624301096.

2. How to calculate the LCM of 587, 478, 104, 782, 723?

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, 478, 104, 782, 723.

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}.