Given numbers are 676,370,208,444,497

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

The LCM of 676,370,208,444,497 is 745857840.

Find LCM of 676,370,208,444,497 with Prime Factorization

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

2 x 2 x 13 x 37 x 13 x 5 x 4 x 3 x 497 = 745857840

Therefore, the lowest common multiple of 676,370,208,444,497 is 745857840.

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.

676 x 370 x 208 x 444 x 497 = 11480243873280

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

370 : 1, 2, 5, 10, 37, 74, 185, 370

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,370,208,444,497, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

370:2x 5x 37

208:2x 2x 2x 2x 13

444:2x 2x 3x 37

497:7x 71

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 13x 37 = 15392

Therefore, the value for common factors is 15392.

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 = 11480243873280/(1x15392)

LCM = 11480243873280/15392

LCM = 745857840

Thus, we can understand that the LCM of 676,370,208,444,497 is 745857840.

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

• LCM of 983, 342, 646, 267, 196
• LCM of 494, 494, 514, 699, 533
• LCM of 479, 903, 255, 171, 519
• LCM of 904, 527, 133, 970, 661
• LCM of 650, 630, 970, 442, 546

1. What is the LCM of 676, 370, 208, 444, 497?

Answer: LCM of 676, 370, 208, 444, 497 is 745857840.

2. How to calculate the LCM of 676, 370, 208, 444, 497?

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 676, 370, 208, 444, 497.

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}.