Given numbers are 560,468,394,893,814

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

The LCM of 560,468,394,893,814 is 4691221975440.

Find LCM of 560,468,394,893,814 with Prime Factorization

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

2 x 2 x 140 x 117 x 197 x 893 x 407 = 4691221975440

Therefore, the lowest common multiple of 560,468,394,893,814 is 4691221975440.

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.

560 x 468 x 394 x 893 x 814 = 75059551607040

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.

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

394 : 1, 2, 197, 394

893 : 1, 19, 47, 893

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,468,394,893,814, is 1.

Now, the common factors can be found like this.

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

468:2x 2x 3x 3x 13

394:2x 197

893:19x 47

814:2x 11x 37

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 = 75059551607040/(1x16)

LCM = 75059551607040/16

LCM = 4691221975440

Thus, we can understand that the LCM of 560,468,394,893,814 is 4691221975440.

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

• LCM of 235, 519, 108, 491, 753
• LCM of 444, 790, 275, 384, 978
• LCM of 407, 134, 897, 269, 359
• LCM of 877, 761, 756, 646, 999
• LCM of 261, 779, 326, 828, 784

1. What is the LCM of 560, 468, 394, 893, 814?

Answer: LCM of 560, 468, 394, 893, 814 is 4691221975440.

2. How to calculate the LCM of 560, 468, 394, 893, 814?

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 560, 468, 394, 893, 814.

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}.