Given numbers are 563,428,264,560

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

The LCM of 563,428,264,560 is 1113253680.

Find LCM of 563,428,264,560 with Prime Factorization

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

2 x 2 x 2 x 563 x 107 x 33 x 70 = 1113253680

Therefore, the lowest common multiple of 563,428,264,560 is 1113253680.

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.

563 x 428 x 264 x 560 = 35624117760

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.

563 : 1, 563

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

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

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 563,428,264,560, is 1.

Now, the common factors can be found like this.

563:563

428:2x 2x 107

264:2x 2x 2x 3x 11

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 35624117760/(1x32)

LCM = 35624117760/32

LCM = 1113253680

Thus, we can understand that the LCM of 563,428,264,560 is 1113253680.

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

• LCM of 613, 350, 492, 128
• LCM of 587, 608, 200, 217
• LCM of 495, 563, 672, 578
• LCM of 153, 928, 251, 796
• LCM of 312, 364, 111, 175

1. What is the LCM of 563, 428, 264, 560?

Answer: LCM of 563, 428, 264, 560 is 1113253680.

2. How to calculate the LCM of 563, 428, 264, 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 563, 428, 264, 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}.