Given numbers are 488,390,186,798,614

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

The LCM of 488,390,186,798,614 is 120449816760.

Find LCM of 488,390,186,798,614 with Prime Factorization

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

2 x 3 x 244 x 65 x 31 x 133 x 307 = 120449816760

Therefore, the lowest common multiple of 488,390,186,798,614 is 120449816760.

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.

488 x 390 x 186 x 798 x 614 = 17344773613440

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

186 : 1, 2, 3, 6, 31, 62, 93, 186

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,390,186,798,614, is 2.

Now, the common factors can be found like this.

488:2x 2x 2x 61

390:2x 3x 5x 13

186:2x 3x 31

798:2x 3x 7x 19

614:2x 307

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 17344773613440/(2x72)

LCM = 17344773613440/144

LCM = 120449816760

Thus, we can understand that the LCM of 488,390,186,798,614 is 120449816760.

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

• LCM of 726, 664, 286, 160, 869
• LCM of 608, 205, 284, 244, 789
• LCM of 199, 765, 593, 835, 623
• LCM of 619, 178, 260, 285, 204
• LCM of 681, 944, 712, 609, 946

1. What is the LCM of 488, 390, 186, 798, 614?

Answer: LCM of 488, 390, 186, 798, 614 is 120449816760.

2. How to calculate the LCM of 488, 390, 186, 798, 614?

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 488, 390, 186, 798, 614.

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}.