Given numbers are 460,649,699,413

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

The LCM of 460,649,699,413 is 1460756220.

Find LCM of 460,649,699,413 with Prime Factorization

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

59 x 460 x 11 x 699 x 7 = 1460756220

Therefore, the lowest common multiple of 460,649,699,413 is 1460756220.

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.

460 x 649 x 699 x 413 = 86184616980

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

649 : 1, 11, 59, 649

699 : 1, 3, 233, 699

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,649,699,413, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

649:11x 59

699:3x 233

413:7x 59

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

59 = 59

Therefore, the value for common factors is 59.

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 = 86184616980/(1x59)

LCM = 86184616980/59

LCM = 1460756220

Thus, we can understand that the LCM of 460,649,699,413 is 1460756220.

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

• LCM of 981, 815, 194, 626
• LCM of 831, 342, 449, 811
• LCM of 880, 669, 773, 307
• LCM of 504, 308, 907, 347
• LCM of 429, 499, 384, 977

1. What is the LCM of 460, 649, 699, 413?

Answer: LCM of 460, 649, 699, 413 is 1460756220.

2. How to calculate the LCM of 460, 649, 699, 413?

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 460, 649, 699, 413.

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}.