Given numbers are 355,497,560,916,752

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

The LCM of 355,497,560,916,752 is 427936880.

Find LCM of 355,497,560,916,752 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 7 x 71 x 1 x 1 x 1 x 229 x 47 = 427936880

Therefore, the lowest common multiple of 355,497,560,916,752 is 427936880.

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.

355 x 497 x 560 x 916 x 752 = 68059081395200

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.

355 : 1, 5, 71, 355

497 : 1, 7, 71, 497

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

916 : 1, 2, 4, 229, 458, 916

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,497,560,916,752, is 1.

Now, the common factors can be found like this.

355:5x 71

497:7x 71

560:2x 2x 2x 2x 5x 7

916:2x 2x 229

752:2x 2x 2x 2x 47

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 2x 2x 5x 7x 71 = 159040

Therefore, the value for common factors is 159040.

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 = 68059081395200/(1x159040)

LCM = 68059081395200/159040

LCM = 427936880

Thus, we can understand that the LCM of 355,497,560,916,752 is 427936880.

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

• LCM of 894, 289, 305, 419, 646
• LCM of 502, 261, 405, 616, 308
• LCM of 191, 288, 259, 298, 505
• LCM of 227, 278, 247, 172, 821
• LCM of 291, 153, 546, 360, 579

1. What is the LCM of 355, 497, 560, 916, 752?

Answer: LCM of 355, 497, 560, 916, 752 is 427936880.

2. How to calculate the LCM of 355, 497, 560, 916, 752?

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 355, 497, 560, 916, 752.

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}.