Given numbers are 916,428,507,560

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

The LCM of 916,428,507,560 is 6956891760.

Find LCM of 916,428,507,560 with Prime Factorization

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

2 x 2 x 229 x 107 x 507 x 140 = 6956891760

Therefore, the lowest common multiple of 916,428,507,560 is 6956891760.

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.

916 x 428 x 507 x 560 = 111310268160

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.

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

428 : 1, 2, 4, 107, 214, 428

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

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,428,507,560, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

428:2x 2x 107

507:3x 13x 13

560:2x 2x 2x 2x 5x 7

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 = 111310268160/(1x16)

LCM = 111310268160/16

LCM = 6956891760

Thus, we can understand that the LCM of 916,428,507,560 is 6956891760.

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

• LCM of 948, 560, 429, 354
• LCM of 162, 157, 524, 234
• LCM of 529, 712, 599, 930
• LCM of 730, 409, 432, 626
• LCM of 574, 321, 912, 317

1. What is the LCM of 916, 428, 507, 560?

Answer: LCM of 916, 428, 507, 560 is 6956891760.

2. How to calculate the LCM of 916, 428, 507, 560?

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 916, 428, 507, 560.

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}.