Given numbers are 964,112,213,596,353

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

The LCM of 964,112,213,596,353 is 302395721712.

Find LCM of 964,112,213,596,353 with Prime Factorization

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

2 x 2 x 241 x 28 x 213 x 149 x 353 = 302395721712

Therefore, the lowest common multiple of 964,112,213,596,353 is 302395721712.

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.

964 x 112 x 213 x 596 x 353 = 4838331547392

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.

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

213 : 1, 3, 71, 213

596 : 1, 2, 4, 149, 298, 596

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,112,213,596,353, is 1.

Now, the common factors can be found like this.

964:2x 2x 241

112:2x 2x 2x 2x 7

213:3x 71

596:2x 2x 149

353:353

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 = 4838331547392/(1x16)

LCM = 4838331547392/16

LCM = 302395721712

Thus, we can understand that the LCM of 964,112,213,596,353 is 302395721712.

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

• LCM of 380, 186, 389, 344, 303
• LCM of 432, 695, 714, 535, 983
• LCM of 601, 114, 553, 295, 825
• LCM of 282, 460, 339, 384, 886
• LCM of 240, 778, 421, 548, 237

1. What is the LCM of 964, 112, 213, 596, 353?

Answer: LCM of 964, 112, 213, 596, 353 is 302395721712.

2. How to calculate the LCM of 964, 112, 213, 596, 353?

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 964, 112, 213, 596, 353.

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}.