Given numbers are 560,209,468,493

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

The LCM of 560,209,468,493 is 6750984240.

Find LCM of 560,209,468,493 with Prime Factorization

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

2 x 2 x 140 x 209 x 117 x 493 = 6750984240

Therefore, the lowest common multiple of 560,209,468,493 is 6750984240.

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 209 x 468 x 493 = 27003936960

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

209 : 1, 11, 19, 209

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

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,209,468,493, is 1.

Now, the common factors can be found like this.

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

209:11x 19

468:2x 2x 3x 3x 13

493:17x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 27003936960/(1x4)

LCM = 27003936960/4

LCM = 6750984240

Thus, we can understand that the LCM of 560,209,468,493 is 6750984240.

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

• LCM of 820, 587, 554, 180
• LCM of 949, 396, 422, 918
• LCM of 348, 852, 753, 659
• LCM of 570, 118, 193, 947
• LCM of 370, 282, 255, 760

1. What is the LCM of 560, 209, 468, 493?

Answer: LCM of 560, 209, 468, 493 is 6750984240.

2. How to calculate the LCM of 560, 209, 468, 493?

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, 209, 468, 493.

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}.