Given numbers are 470,749,792,259

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

The LCM of 470,749,792,259 is 5157943560.

Find LCM of 470,749,792,259 with Prime Factorization

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

2 x 7 x 235 x 107 x 396 x 37 = 5157943560

Therefore, the lowest common multiple of 470,749,792,259 is 5157943560.

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.

470 x 749 x 792 x 259 = 72211209840

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

749 : 1, 7, 107, 749

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,749,792,259, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

749:7x 107

792:2x 2x 2x 3x 3x 11

259:7x 37

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 72211209840/(1x14)

LCM = 72211209840/14

LCM = 5157943560

Thus, we can understand that the LCM of 470,749,792,259 is 5157943560.

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

• LCM of 238, 174, 978, 334
• LCM of 252, 710, 275, 565
• LCM of 440, 935, 592, 448
• LCM of 619, 416, 258, 551
• LCM of 718, 640, 830, 140

1. What is the LCM of 470, 749, 792, 259?

Answer: LCM of 470, 749, 792, 259 is 5157943560.

2. How to calculate the LCM of 470, 749, 792, 259?

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 470, 749, 792, 259.

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}.