Given numbers are 535,585,175,541,242

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

The LCM of 535,585,175,541,242 is 286827190650.

Find LCM of 535,585,175,541,242 with Prime Factorization

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

5 x 107 x 117 x 35 x 541 x 242 = 286827190650

Therefore, the lowest common multiple of 535,585,175,541,242 is 286827190650.

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.

535 x 585 x 175 x 541 x 242 = 7170679766250

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.

535 : 1, 5, 107, 535

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

175 : 1, 5, 7, 25, 35, 175

541 : 1, 541

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,585,175,541,242, is 1.

Now, the common factors can be found like this.

535:5x 107

585:3x 3x 5x 13

175:5x 5x 7

541:541

242:2x 11x 11

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 = 7170679766250/(1x25)

LCM = 7170679766250/25

LCM = 286827190650

Thus, we can understand that the LCM of 535,585,175,541,242 is 286827190650.

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

• LCM of 297, 104, 418, 447, 519
• LCM of 730, 110, 555, 881, 535
• LCM of 919, 509, 878, 656, 120
• LCM of 394, 561, 850, 806, 443
• LCM of 488, 895, 796, 980, 872

1. What is the LCM of 535, 585, 175, 541, 242?

Answer: LCM of 535, 585, 175, 541, 242 is 286827190650.

2. How to calculate the LCM of 535, 585, 175, 541, 242?

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 535, 585, 175, 541, 242.

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}.