Given numbers are 387,810,612,418

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

The LCM of 387,810,612,418 is 247501980.

Find LCM of 387,810,612,418 with Prime Factorization

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

2 x 3 x 3 x 43 x 45 x 34 x 209 = 247501980

Therefore, the lowest common multiple of 387,810,612,418 is 247501980.

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.

387 x 810 x 612 x 418 = 80190641520

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.

387 : 1, 3, 9, 43, 129, 387

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,810,612,418, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

810:2x 3x 3x 3x 3x 5

612:2x 2x 3x 3x 17

418:2x 11x 19

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 80190641520/(1x324)

LCM = 80190641520/324

LCM = 247501980

Thus, we can understand that the LCM of 387,810,612,418 is 247501980.

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

• LCM of 830, 392, 563, 664
• LCM of 788, 531, 667, 282
• LCM of 124, 914, 968, 712
• LCM of 270, 778, 689, 787
• LCM of 816, 654, 283, 119

1. What is the LCM of 387, 810, 612, 418?

Answer: LCM of 387, 810, 612, 418 is 247501980.

2. How to calculate the LCM of 387, 810, 612, 418?

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 387, 810, 612, 418.

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}.