Given numbers are 560,750,507,660

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

The LCM of 560,750,507,660 is 78078000.

Find LCM of 560,750,507,660 with Prime Factorization

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

2 x 2 x 3 x 5 x 28 x 25 x 169 x 11 = 78078000

Therefore, the lowest common multiple of 560,750,507,660 is 78078000.

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 750 x 507 x 660 = 140540400000

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,750,507,660, is 1.

Now, the common factors can be found like this.

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

750:2x 3x 5x 5x 5

507:3x 13x 13

660:2x 2x 3x 5x 11

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 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 140540400000/(1x1800)

LCM = 140540400000/1800

LCM = 78078000

Thus, we can understand that the LCM of 560,750,507,660 is 78078000.

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

• LCM of 278, 978, 437, 574
• LCM of 491, 580, 833, 819
• LCM of 240, 530, 370, 948
• LCM of 853, 541, 989, 874
• LCM of 588, 431, 584, 155

1. What is the LCM of 560, 750, 507, 660?

Answer: LCM of 560, 750, 507, 660 is 78078000.

2. How to calculate the LCM of 560, 750, 507, 660?

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, 750, 507, 660.

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}.