Given numbers are 220,977,506,310,600

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

The LCM of 220,977,506,310,600 is 4597566600.

Find LCM of 220,977,506,310,600 with Prime Factorization

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

2 x 2 x 5 x 11 x 1 x 977 x 23 x 31 x 30 = 4597566600

Therefore, the lowest common multiple of 220,977,506,310,600 is 4597566600.

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.

220 x 977 x 506 x 310 x 600 = 20229293040000

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.

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

977 : 1, 977

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,977,506,310,600, is 1.

Now, the common factors can be found like this.

220:2x 2x 5x 11

977:977

506:2x 11x 23

310:2x 5x 31

600:2x 2x 2x 3x 5x 5

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 2x 5x 5x 11 = 4400

Therefore, the value for common factors is 4400.

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 = 20229293040000/(1x4400)

LCM = 20229293040000/4400

LCM = 4597566600

Thus, we can understand that the LCM of 220,977,506,310,600 is 4597566600.

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

• LCM of 636, 758, 491, 880, 906
• LCM of 860, 621, 300, 681, 844
• LCM of 266, 954, 614, 605, 854
• LCM of 265, 305, 655, 345, 100
• LCM of 116, 752, 621, 511, 599

1. What is the LCM of 220, 977, 506, 310, 600?

Answer: LCM of 220, 977, 506, 310, 600 is 4597566600.

2. How to calculate the LCM of 220, 977, 506, 310, 600?

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 220, 977, 506, 310, 600.

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}.