Given numbers are 709,969,517,388,828

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

The LCM of 709,969,517,388,828 is 9509142851604.

Find LCM of 709,969,517,388,828 with Prime Factorization

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

2 x 2 x 3 x 709 x 323 x 517 x 97 x 69 = 9509142851604

Therefore, the lowest common multiple of 709,969,517,388,828 is 9509142851604.

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.

709 x 969 x 517 x 388 x 828 = 114109714219248

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.

709 : 1, 709

969 : 1, 3, 17, 19, 51, 57, 323, 969

517 : 1, 11, 47, 517

388 : 1, 2, 4, 97, 194, 388

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,969,517,388,828, is 1.

Now, the common factors can be found like this.

709:709

969:3x 17x 19

517:11x 47

388:2x 2x 97

828:2x 2x 3x 3x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 114109714219248/(1x12)

LCM = 114109714219248/12

LCM = 9509142851604

Thus, we can understand that the LCM of 709,969,517,388,828 is 9509142851604.

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

• LCM of 285, 268, 509, 887, 333
• LCM of 803, 578, 728, 424, 704
• LCM of 481, 475, 146, 152, 702
• LCM of 372, 482, 811, 133, 636
• LCM of 947, 497, 948, 827, 303

1. What is the LCM of 709, 969, 517, 388, 828?

Answer: LCM of 709, 969, 517, 388, 828 is 9509142851604.

2. How to calculate the LCM of 709, 969, 517, 388, 828?

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 709, 969, 517, 388, 828.

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}.