Given numbers are 730,728,146,319

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

The LCM of 730,728,146,319 is 84764680.

Find LCM of 730,728,146,319 with Prime Factorization

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

2 x 73 x 5 x 364 x 1 x 319 = 84764680

Therefore, the lowest common multiple of 730,728,146,319 is 84764680.

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 728 x 146 x 319 = 24751286560

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

146 : 1, 2, 73, 146

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,728,146,319, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

728:2x 2x 2x 7x 13

146:2x 73

319:11x 29

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 73 = 292

Therefore, the value for common factors is 292.

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 = 24751286560/(1x292)

LCM = 24751286560/292

LCM = 84764680

Thus, we can understand that the LCM of 730,728,146,319 is 84764680.

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

• LCM of 999, 178, 896, 184
• LCM of 739, 614, 366, 811
• LCM of 211, 819, 866, 589
• LCM of 230, 237, 402, 912
• LCM of 420, 155, 433, 575

1. What is the LCM of 730, 728, 146, 319?

Answer: LCM of 730, 728, 146, 319 is 84764680.

2. How to calculate the LCM of 730, 728, 146, 319?

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, 728, 146, 319.

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}.