Given numbers are 963,214,508,314

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

The LCM of 963,214,508,314 is 76805028.

Find LCM of 963,214,508,314 with Prime Factorization

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

2 x 107 x 9 x 1 x 254 x 157 = 76805028

Therefore, the lowest common multiple of 963,214,508,314 is 76805028.

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.

963 x 214 x 508 x 314 = 32872551984

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.

963 : 1, 3, 9, 107, 321, 963

214 : 1, 2, 107, 214

508 : 1, 2, 4, 127, 254, 508

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,214,508,314, is 1.

Now, the common factors can be found like this.

963:3x 3x 107

214:2x 107

508:2x 2x 127

314:2x 157

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 107 = 428

Therefore, the value for common factors is 428.

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 = 32872551984/(1x428)

LCM = 32872551984/428

LCM = 76805028

Thus, we can understand that the LCM of 963,214,508,314 is 76805028.

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

• LCM of 615, 126, 705, 463
• LCM of 575, 723, 541, 476
• LCM of 137, 866, 178, 672
• LCM of 495, 649, 399, 973
• LCM of 677, 973, 890, 140

1. What is the LCM of 963, 214, 508, 314?

Answer: LCM of 963, 214, 508, 314 is 76805028.

2. How to calculate the LCM of 963, 214, 508, 314?

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 963, 214, 508, 314.

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}.