Given numbers are 413,730,219,538

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

The LCM of 413,730,219,538 is 243302430.

Find LCM of 413,730,219,538 with Prime Factorization

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

2 x 73 x 413 x 5 x 3 x 269 = 243302430

Therefore, the lowest common multiple of 413,730,219,538 is 243302430.

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.

413 x 730 x 219 x 538 = 35522154780

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.

413 : 1, 7, 59, 413

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

219 : 1, 3, 73, 219

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,730,219,538, is 1.

Now, the common factors can be found like this.

413:7x 59

730:2x 5x 73

219:3x 73

538:2x 269

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

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 35522154780/(1x146)

LCM = 35522154780/146

LCM = 243302430

Thus, we can understand that the LCM of 413,730,219,538 is 243302430.

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

• LCM of 237, 990, 793, 623
• LCM of 189, 287, 102, 921
• LCM of 359, 914, 220, 714
• LCM of 369, 103, 329, 461
• LCM of 782, 442, 536, 725

1. What is the LCM of 413, 730, 219, 538?

Answer: LCM of 413, 730, 219, 538 is 243302430.

2. How to calculate the LCM of 413, 730, 219, 538?

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 413, 730, 219, 538.

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}.