Given numbers are 242,205,575,15

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

The LCM of 242,205,575,15 is 17115450.

Find LCM of 242,205,575,15 with Prime Factorization

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

5 x 242 x 41 x 115 x 3 = 17115450

Therefore, the lowest common multiple of 242,205,575,15 is 17115450.

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.

242 x 205 x 575 x 15 = 427886250

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.

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

205 : 1, 5, 41, 205

575 : 1, 5, 23, 25, 115, 575

15 : 1, 3, 5, 15

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,205,575,15, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

205:5x 41

575:5x 5x 23

15:3x 5

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 427886250/(1x25)

LCM = 427886250/25

LCM = 17115450

Thus, we can understand that the LCM of 242,205,575,15 is 17115450.

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

• LCM of 926, 981, 543, 77
• LCM of 849, 827, 926, 61
• LCM of 517, 247, 818, 74
• LCM of 968, 637, 120, 63
• LCM of 630, 272, 707, 40

1. What is the LCM of 242, 205, 575, 15?

Answer: LCM of 242, 205, 575, 15 is 17115450.

2. How to calculate the LCM of 242, 205, 575, 15?

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 242, 205, 575, 15.

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}.