Given numbers are 730,386,424,689

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

The LCM of 730,386,424,689 is 388292840.

Find LCM of 730,386,424,689 with Prime Factorization

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

2 x 53 x 365 x 193 x 4 x 13 = 388292840

Therefore, the lowest common multiple of 730,386,424,689 is 388292840.

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 386 x 424 x 689 = 82318082080

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

386 : 1, 2, 193, 386

424 : 1, 2, 4, 8, 53, 106, 212, 424

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,386,424,689, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

386:2x 193

424:2x 2x 2x 53

689:13x 53

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 53 = 212

Therefore, the value for common factors is 212.

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 = 82318082080/(1x212)

LCM = 82318082080/212

LCM = 388292840

Thus, we can understand that the LCM of 730,386,424,689 is 388292840.

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

• LCM of 361, 185, 797, 716
• LCM of 463, 708, 268, 810
• LCM of 961, 236, 212, 339
• LCM of 971, 277, 134, 223
• LCM of 836, 496, 884, 292

1. What is the LCM of 730, 386, 424, 689?

Answer: LCM of 730, 386, 424, 689 is 388292840.

2. How to calculate the LCM of 730, 386, 424, 689?

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, 386, 424, 689.

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}.