Given numbers are 560,523,614

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

The LCM of 560,523,614 is 89914160.

Find LCM of 560,523,614 with Prime Factorization

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

2 x 280 x 523 x 307 = 89914160

Therefore, the lowest common multiple of 560,523,614 is 89914160.

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 523 x 614 = 179828320

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

523 : 1, 523

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,523,614, is 1.

Now, the common factors can be found like this.

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

523:523

614:2x 307

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

2 = 2

Therefore, the value for common factors is 2.

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 = 179828320/(1x2)

LCM = 179828320/2

LCM = 89914160

Thus, we can understand that the LCM of 560,523,614 is 89914160.

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

• LCM of 833, 271, 969
• LCM of 519, 663, 703
• LCM of 464, 956, 715
• LCM of 457, 866, 148
• LCM of 816, 763, 790

1. What is the LCM of 560, 523, 614?

Answer: LCM of 560, 523, 614 is 89914160.

2. How to calculate the LCM of 560, 523, 614?

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, 523, 614.

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}.