Given numbers are 387,312,506,929

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

The LCM of 387,312,506,929 is 9459769176.

Find LCM of 387,312,506,929 with Prime Factorization

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

2 x 3 x 129 x 52 x 253 x 929 = 9459769176

Therefore, the lowest common multiple of 387,312,506,929 is 9459769176.

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 312 x 506 x 929 = 56758615056

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

506 : 1, 2, 11, 22, 23, 46, 253, 506

929 : 1, 929

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,312,506,929, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

312:2x 2x 2x 3x 13

506:2x 11x 23

929:929

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 56758615056/(1x6)

LCM = 56758615056/6

LCM = 9459769176

Thus, we can understand that the LCM of 387,312,506,929 is 9459769176.

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

• LCM of 326, 572, 268, 621
• LCM of 377, 777, 722, 830
• LCM of 143, 547, 123, 786
• LCM of 968, 337, 883, 371
• LCM of 538, 321, 838, 162

1. What is the LCM of 387, 312, 506, 929?

Answer: LCM of 387, 312, 506, 929 is 9459769176.

2. How to calculate the LCM of 387, 312, 506, 929?

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, 312, 506, 929.

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}.