Given numbers are 506,720,115,770

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

The LCM of 506,720,115,770 is 1275120.

Find LCM of 506,720,115,770 with Prime Factorization

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

2 x 5 x 11 x 23 x 1 x 72 x 1 x 7 = 1275120

Therefore, the lowest common multiple of 506,720,115,770 is 1275120.

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.

506 x 720 x 115 x 770 = 32260536000

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

115 : 1, 5, 23, 115

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,720,115,770, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

720:2x 2x 2x 2x 3x 3x 5

115:5x 23

770:2x 5x 7x 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 5x 5x 11x 23 = 25300

Therefore, the value for common factors is 25300.

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 = 32260536000/(1x25300)

LCM = 32260536000/25300

LCM = 1275120

Thus, we can understand that the LCM of 506,720,115,770 is 1275120.

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

• LCM of 705, 798, 989, 422
• LCM of 792, 885, 203, 565
• LCM of 890, 744, 276, 884
• LCM of 949, 967, 548, 639
• LCM of 180, 225, 296, 940

1. What is the LCM of 506, 720, 115, 770?

Answer: LCM of 506, 720, 115, 770 is 1275120.

2. How to calculate the LCM of 506, 720, 115, 770?

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 506, 720, 115, 770.

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}.