Given numbers are 204,301,242,870,757

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

The LCM of 204,301,242,870,757 is 815541217260.

Find LCM of 204,301,242,870,757 with Prime Factorization

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

2 x 3 x 34 x 301 x 121 x 145 x 757 = 815541217260

Therefore, the lowest common multiple of 204,301,242,870,757 is 815541217260.

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.

204 x 301 x 242 x 870 x 757 = 9786494607120

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

301 : 1, 7, 43, 301

242 : 1, 2, 11, 22, 121, 242

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,301,242,870,757, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

301:7x 43

242:2x 11x 11

870:2x 3x 5x 29

757:757

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 3 = 12

Therefore, the value for common factors is 12.

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 = 9786494607120/(1x12)

LCM = 9786494607120/12

LCM = 815541217260

Thus, we can understand that the LCM of 204,301,242,870,757 is 815541217260.

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

• LCM of 810, 725, 278, 227, 879
• LCM of 534, 243, 326, 424, 376
• LCM of 442, 870, 140, 736, 401
• LCM of 497, 744, 243, 199, 705
• LCM of 390, 669, 383, 433, 413

1. What is the LCM of 204, 301, 242, 870, 757?

Answer: LCM of 204, 301, 242, 870, 757 is 815541217260.

2. How to calculate the LCM of 204, 301, 242, 870, 757?

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 204, 301, 242, 870, 757.

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}.