Given numbers are 318,578,507,776,351

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

The LCM of 318,578,507,776,351 is 54235781496.

Find LCM of 318,578,507,776,351 with Prime Factorization

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

2 x 3 x 13 x 53 x 289 x 13 x 388 x 9 = 54235781496

Therefore, the lowest common multiple of 318,578,507,776,351 is 54235781496.

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.

318 x 578 x 507 x 776 x 351 = 25382345740128

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

578 : 1, 2, 17, 34, 289, 578

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

776 : 1, 2, 4, 8, 97, 194, 388, 776

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,578,507,776,351, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

578:2x 17x 17

507:3x 13x 13

776:2x 2x 2x 97

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 = 25382345740128/(1x468)

LCM = 25382345740128/468

LCM = 54235781496

Thus, we can understand that the LCM of 318,578,507,776,351 is 54235781496.

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

• LCM of 885, 223, 723, 233, 612
• LCM of 826, 817, 533, 212, 716
• LCM of 942, 521, 491, 118, 216
• LCM of 464, 350, 149, 344, 617
• LCM of 704, 495, 962, 832, 774

1. What is the LCM of 318, 578, 507, 776, 351?

Answer: LCM of 318, 578, 507, 776, 351 is 54235781496.

2. How to calculate the LCM of 318, 578, 507, 776, 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 318, 578, 507, 776, 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}.