Given numbers are 292,809,828,130,914

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

The LCM of 292,809,828,130,914 is 1452550617180.

Find LCM of 292,809,828,130,914 with Prime Factorization

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

2 x 2 x 73 x 809 x 207 x 65 x 457 = 1452550617180

Therefore, the lowest common multiple of 292,809,828,130,914 is 1452550617180.

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.

292 x 809 x 828 x 130 x 914 = 23240809874880

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.

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

809 : 1, 809

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

130 : 1, 2, 5, 10, 13, 26, 65, 130

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,809,828,130,914, is 1.

Now, the common factors can be found like this.

292:2x 2x 73

809:809

828:2x 2x 3x 3x 23

130:2x 5x 13

914:2x 457

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 23240809874880/(1x16)

LCM = 23240809874880/16

LCM = 1452550617180

Thus, we can understand that the LCM of 292,809,828,130,914 is 1452550617180.

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

• LCM of 555, 486, 939, 756, 156
• LCM of 598, 811, 602, 521, 357
• LCM of 512, 579, 368, 262, 476
• LCM of 818, 491, 558, 984, 872
• LCM of 253, 234, 908, 878, 575

1. What is the LCM of 292, 809, 828, 130, 914?

Answer: LCM of 292, 809, 828, 130, 914 is 1452550617180.

2. How to calculate the LCM of 292, 809, 828, 130, 914?

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 292, 809, 828, 130, 914.

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}.