Given numbers are 578,847,570,137,352

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

The LCM of 578,847,570,137,352 is 305841671520.

Find LCM of 578,847,570,137,352 with Prime Factorization

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

2 x 11 x 289 x 77 x 285 x 137 x 16 = 305841671520

Therefore, the lowest common multiple of 578,847,570,137,352 is 305841671520.

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.

578 x 847 x 570 x 137 x 352 = 13457033546880

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.

578 : 1, 2, 17, 34, 289, 578

847 : 1, 7, 11, 77, 121, 847

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

137 : 1, 137

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,847,570,137,352, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

847:7x 11x 11

570:2x 3x 5x 19

137:137

352:2x 2x 2x 2x 2x 11

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 11 = 44

Therefore, the value for common factors is 44.

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 = 13457033546880/(1x44)

LCM = 13457033546880/44

LCM = 305841671520

Thus, we can understand that the LCM of 578,847,570,137,352 is 305841671520.

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

• LCM of 576, 377, 586, 417, 573
• LCM of 995, 605, 976, 696, 168
• LCM of 198, 215, 870, 784, 767
• LCM of 975, 791, 551, 364, 523
• LCM of 471, 741, 364, 321, 938

1. What is the LCM of 578, 847, 570, 137, 352?

Answer: LCM of 578, 847, 570, 137, 352 is 305841671520.

2. How to calculate the LCM of 578, 847, 570, 137, 352?

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 578, 847, 570, 137, 352.

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}.