Given numbers are 351,253,816,528

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

The LCM of 351,253,816,528 is 24154416.

Find LCM of 351,253,816,528 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 117 x 23 x 17 x 1 = 24154416

Therefore, the lowest common multiple of 351,253,816,528 is 24154416.

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.

351 x 253 x 816 x 528 = 38260594944

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.

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

253 : 1, 11, 23, 253

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,253,816,528, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

253:11x 23

816:2x 2x 2x 2x 3x 17

528:2x 2x 2x 2x 3x 11

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 2x 3x 3x 11 = 1584

Therefore, the value for common factors is 1584.

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 = 38260594944/(1x1584)

LCM = 38260594944/1584

LCM = 24154416

Thus, we can understand that the LCM of 351,253,816,528 is 24154416.

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

• LCM of 921, 848, 448, 614
• LCM of 610, 404, 222, 758
• LCM of 681, 954, 712, 406
• LCM of 434, 530, 209, 535
• LCM of 809, 221, 112, 875

1. What is the LCM of 351, 253, 816, 528?

Answer: LCM of 351, 253, 816, 528 is 24154416.

2. How to calculate the LCM of 351, 253, 816, 528?

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 351, 253, 816, 528.

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}.