Given numbers are 402,916,561,312,351

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

The LCM of 402,916,561,312,351 is 8056547928.

Find LCM of 402,916,561,312,351 with Prime Factorization

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

2 x 2 x 3 x 13 x 67 x 229 x 187 x 2 x 9 = 8056547928

Therefore, the lowest common multiple of 402,916,561,312,351 is 8056547928.

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.

402 x 916 x 561 x 312 x 351 = 22622786581824

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

916 : 1, 2, 4, 229, 458, 916

561 : 1, 3, 11, 17, 33, 51, 187, 561

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 402,916,561,312,351, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

916:2x 2x 229

561:3x 11x 17

312:2x 2x 2x 3x 13

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 2x 3x 3x 3x 13 = 2808

Therefore, the value for common factors is 2808.

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 = 22622786581824/(1x2808)

LCM = 22622786581824/2808

LCM = 8056547928

Thus, we can understand that the LCM of 402,916,561,312,351 is 8056547928.

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

• LCM of 446, 568, 801, 820, 901
• LCM of 978, 407, 907, 959, 120
• LCM of 202, 180, 435, 334, 531
• LCM of 974, 648, 293, 922, 655
• LCM of 582, 169, 643, 835, 667

1. What is the LCM of 402, 916, 561, 312, 351?

Answer: LCM of 402, 916, 561, 312, 351 is 8056547928.

2. How to calculate the LCM of 402, 916, 561, 312, 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 402, 916, 561, 312, 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}.