Given numbers are 768,467,182,990

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

The LCM of 768,467,182,990 is 5385219840.

Find LCM of 768,467,182,990 with Prime Factorization

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

2 x 3 x 128 x 467 x 91 x 165 = 5385219840

Therefore, the lowest common multiple of 768,467,182,990 is 5385219840.

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.

768 x 467 x 182 x 990 = 64622638080

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

467 : 1, 467

182 : 1, 2, 7, 13, 14, 26, 91, 182

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 768,467,182,990, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

467:467

182:2x 7x 13

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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 64622638080/(1x12)

LCM = 64622638080/12

LCM = 5385219840

Thus, we can understand that the LCM of 768,467,182,990 is 5385219840.

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

• LCM of 686, 861, 493, 208
• LCM of 978, 211, 482, 605
• LCM of 844, 174, 285, 235
• LCM of 830, 564, 406, 758
• LCM of 353, 507, 722, 412

1. What is the LCM of 768, 467, 182, 990?

Answer: LCM of 768, 467, 182, 990 is 5385219840.

2. How to calculate the LCM of 768, 467, 182, 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 768, 467, 182, 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}.