Given numbers are 780,912,849,351

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

The LCM of 780,912,849,351 is 150986160.

Find LCM of 780,912,849,351 with Prime Factorization

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

2 x 2 x 3 x 13 x 5 x 76 x 283 x 9 = 150986160

Therefore, the lowest common multiple of 780,912,849,351 is 150986160.

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.

780 x 912 x 849 x 351 = 211984568640

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

849 : 1, 3, 283, 849

351 : 1, 3, 9, 13, 27, 39, 117, 351

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,912,849,351, is 3.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

912:2x 2x 2x 2x 3x 19

849:3x 283

351:3x 3x 3x 13

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 211984568640/(3x468)

LCM = 211984568640/1404

LCM = 150986160

Thus, we can understand that the LCM of 780,912,849,351 is 150986160.

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

• LCM of 508, 237, 279, 578
• LCM of 458, 844, 170, 975
• LCM of 318, 904, 184, 442
• LCM of 240, 439, 897, 802
• LCM of 492, 602, 962, 491

1. What is the LCM of 780, 912, 849, 351?

Answer: LCM of 780, 912, 849, 351 is 150986160.

2. How to calculate the LCM of 780, 912, 849, 351?

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 780, 912, 849, 351.

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}.