Given numbers are 735,407,214,566,734

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

The LCM of 735,407,214,566,734 is 6648872752830.

Find LCM of 735,407,214,566,734 with Prime Factorization

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

2 x 735 x 407 x 107 x 283 x 367 = 6648872752830

Therefore, the lowest common multiple of 735,407,214,566,734 is 6648872752830.

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.

735 x 407 x 214 x 566 x 734 = 26595491011320

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

407 : 1, 11, 37, 407

214 : 1, 2, 107, 214

566 : 1, 2, 283, 566

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,407,214,566,734, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

407:11x 37

214:2x 107

566:2x 283

734:2x 367

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 = 26595491011320/(1x4)

LCM = 26595491011320/4

LCM = 6648872752830

Thus, we can understand that the LCM of 735,407,214,566,734 is 6648872752830.

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

• LCM of 821, 457, 820, 847, 234
• LCM of 725, 730, 978, 935, 641
• LCM of 549, 502, 606, 306, 626
• LCM of 513, 840, 497, 465, 527
• LCM of 186, 536, 264, 872, 301

1. What is the LCM of 735, 407, 214, 566, 734?

Answer: LCM of 735, 407, 214, 566, 734 is 6648872752830.

2. How to calculate the LCM of 735, 407, 214, 566, 734?

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 735, 407, 214, 566, 734.

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}.