Given numbers are 412,964,961,316

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

The LCM of 412,964,961,316 is 7538149348.

Find LCM of 412,964,961,316 with Prime Factorization

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

2 x 2 x 103 x 241 x 961 x 79 = 7538149348

Therefore, the lowest common multiple of 412,964,961,316 is 7538149348.

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.

412 x 964 x 961 x 316 = 120610389568

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.

412 : 1, 2, 4, 103, 206, 412

964 : 1, 2, 4, 241, 482, 964

961 : 1, 31, 961

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,964,961,316, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

964:2x 2x 241

961:31x 31

316:2x 2x 79

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 120610389568/(1x16)

LCM = 120610389568/16

LCM = 7538149348

Thus, we can understand that the LCM of 412,964,961,316 is 7538149348.

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

• LCM of 476, 789, 903, 771
• LCM of 385, 254, 642, 713
• LCM of 857, 122, 876, 989
• LCM of 549, 606, 418, 665
• LCM of 648, 256, 498, 352

1. What is the LCM of 412, 964, 961, 316?

Answer: LCM of 412, 964, 961, 316 is 7538149348.

2. How to calculate the LCM of 412, 964, 961, 316?

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 412, 964, 961, 316.

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}.