Given numbers are 734,486,413,584

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

The LCM of 734,486,413,584 is 21509743752.

Find LCM of 734,486,413,584 with Prime Factorization

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

2 x 367 x 243 x 413 x 292 = 21509743752

Therefore, the lowest common multiple of 734,486,413,584 is 21509743752.

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.

734 x 486 x 413 x 584 = 86038975008

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.

734 : 1, 2, 367, 734

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

413 : 1, 7, 59, 413

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,486,413,584, is 1.

Now, the common factors can be found like this.

734:2x 367

486:2x 3x 3x 3x 3x 3

413:7x 59

584:2x 2x 2x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 86038975008/(1x4)

LCM = 86038975008/4

LCM = 21509743752

Thus, we can understand that the LCM of 734,486,413,584 is 21509743752.

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

• LCM of 268, 721, 648, 984
• LCM of 762, 897, 260, 305
• LCM of 139, 332, 810, 699
• LCM of 711, 741, 472, 820
• LCM of 156, 814, 500, 771

1. What is the LCM of 734, 486, 413, 584?

Answer: LCM of 734, 486, 413, 584 is 21509743752.

2. How to calculate the LCM of 734, 486, 413, 584?

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 734, 486, 413, 584.

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}.