Given numbers are 714,598,704,585

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

The LCM of 714,598,704,585 is 1127206080.

Find LCM of 714,598,704,585 with Prime Factorization

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

2 x 3 x 13 x 119 x 23 x 352 x 15 = 1127206080

Therefore, the lowest common multiple of 714,598,704,585 is 1127206080.

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.

714 x 598 x 704 x 585 = 175844148480

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

598 : 1, 2, 13, 23, 26, 46, 299, 598

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,598,704,585, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

598:2x 13x 23

704:2x 2x 2x 2x 2x 2x 11

585:3x 3x 5x 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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 175844148480/(1x156)

LCM = 175844148480/156

LCM = 1127206080

Thus, we can understand that the LCM of 714,598,704,585 is 1127206080.

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

• LCM of 817, 558, 644, 777
• LCM of 964, 168, 949, 384
• LCM of 188, 314, 676, 192
• LCM of 606, 910, 328, 785
• LCM of 756, 900, 334, 210

1. What is the LCM of 714, 598, 704, 585?

Answer: LCM of 714, 598, 704, 585 is 1127206080.

2. How to calculate the LCM of 714, 598, 704, 585?

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 714, 598, 704, 585.

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}.