Given numbers are 730,336,736,414

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

The LCM of 730,336,736,414 is 16924320.

Find LCM of 730,336,736,414 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 23 x 365 x 7 x 2 x 3 = 16924320

Therefore, the lowest common multiple of 730,336,736,414 is 16924320.

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.

730 x 336 x 736 x 414 = 74737797120

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,336,736,414, is 2.

Now, the common factors can be found like this.

730:2x 5x 73

336:2x 2x 2x 2x 3x 7

736:2x 2x 2x 2x 2x 23

414:2x 3x 3x 23

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 2x 2x 3x 23 = 2208

Therefore, the value for common factors is 2208.

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 = 74737797120/(2x2208)

LCM = 74737797120/4416

LCM = 16924320

Thus, we can understand that the LCM of 730,336,736,414 is 16924320.

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

• LCM of 830, 697, 598, 695
• LCM of 222, 722, 867, 821
• LCM of 781, 318, 371, 945
• LCM of 918, 463, 320, 664
• LCM of 615, 563, 728, 418

1. What is the LCM of 730, 336, 736, 414?

Answer: LCM of 730, 336, 736, 414 is 16924320.

2. How to calculate the LCM of 730, 336, 736, 414?

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 730, 336, 736, 414.

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}.