Given numbers are 387,311,968,990

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

The LCM of 387,311,968,990 is 582527880.

Find LCM of 387,311,968,990 with Prime Factorization

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

2 x 3 x 3 x 11 x 43 x 311 x 44 x 5 = 582527880

Therefore, the lowest common multiple of 387,311,968,990 is 582527880.

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 311 x 968 x 990 = 115340520240

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

311 : 1, 311

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,311,968,990, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

311:311

968:2x 2x 2x 11x 11

990:2x 3x 3x 5x 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 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 115340520240/(1x198)

LCM = 115340520240/198

LCM = 582527880

Thus, we can understand that the LCM of 387,311,968,990 is 582527880.

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

• LCM of 309, 836, 332, 802
• LCM of 108, 797, 725, 208
• LCM of 176, 645, 348, 844
• LCM of 524, 186, 607, 668
• LCM of 306, 861, 956, 514

1. What is the LCM of 387, 311, 968, 990?

Answer: LCM of 387, 311, 968, 990 is 582527880.

2. How to calculate the LCM of 387, 311, 968, 990?

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, 311, 968, 990.

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}.