Given numbers are 967,976,214,507

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

The LCM of 967,976,214,507 is 51199772208.

Find LCM of 967,976,214,507 with Prime Factorization

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

2 x 967 x 488 x 107 x 507 = 51199772208

Therefore, the lowest common multiple of 967,976,214,507 is 51199772208.

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.

967 x 976 x 214 x 507 = 102399544416

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.

967 : 1, 967

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

214 : 1, 2, 107, 214

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,976,214,507, is 1.

Now, the common factors can be found like this.

967:967

976:2x 2x 2x 2x 61

214:2x 107

507:3x 13x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 102399544416/(1x2)

LCM = 102399544416/2

LCM = 51199772208

Thus, we can understand that the LCM of 967,976,214,507 is 51199772208.

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

• LCM of 529, 741, 619, 694
• LCM of 275, 954, 951, 799
• LCM of 398, 179, 425, 873
• LCM of 340, 348, 419, 973
• LCM of 638, 731, 163, 398

1. What is the LCM of 967, 976, 214, 507?

Answer: LCM of 967, 976, 214, 507 is 51199772208.

2. How to calculate the LCM of 967, 976, 214, 507?

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 967, 976, 214, 507.

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}.