Given numbers are 676,402,546,642,353

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

The LCM of 676,402,546,642,353 is 35925206772.

Find LCM of 676,402,546,642,353 with Prime Factorization

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

2 x 3 x 13 x 26 x 67 x 7 x 107 x 353 = 35925206772

Therefore, the lowest common multiple of 676,402,546,642,353 is 35925206772.

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 402 x 546 x 642 x 353 = 33625993538592

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

642 : 1, 2, 3, 6, 107, 214, 321, 642

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,402,546,642,353, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

402:2x 3x 67

546:2x 3x 7x 13

642:2x 3x 107

353:353

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 33625993538592/(1x936)

LCM = 33625993538592/936

LCM = 35925206772

Thus, we can understand that the LCM of 676,402,546,642,353 is 35925206772.

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

• LCM of 266, 131, 184, 283, 791
• LCM of 380, 912, 764, 307, 361
• LCM of 688, 485, 517, 204, 390
• LCM of 421, 283, 159, 867, 112
• LCM of 658, 645, 219, 249, 110

1. What is the LCM of 676, 402, 546, 642, 353?

Answer: LCM of 676, 402, 546, 642, 353 is 35925206772.

2. How to calculate the LCM of 676, 402, 546, 642, 353?

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, 402, 546, 642, 353.

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}.