Given numbers are 346,420,767,608,355

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

The LCM of 346,420,767,608,355 is 601440534240.

Find LCM of 346,420,767,608,355 with Prime Factorization

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

2 x 2 x 5 x 173 x 21 x 767 x 152 x 71 = 601440534240

Therefore, the lowest common multiple of 346,420,767,608,355 is 601440534240.

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.

346 x 420 x 767 x 608 x 355 = 24057621369600

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.

346 : 1, 2, 173, 346

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

767 : 1, 13, 59, 767

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,420,767,608,355, is 1.

Now, the common factors can be found like this.

346:2x 173

420:2x 2x 3x 5x 7

767:13x 59

608:2x 2x 2x 2x 2x 19

355:5x 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 5 = 40

Therefore, the value for common factors is 40.

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 = 24057621369600/(1x40)

LCM = 24057621369600/40

LCM = 601440534240

Thus, we can understand that the LCM of 346,420,767,608,355 is 601440534240.

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

• LCM of 116, 965, 116, 380, 408
• LCM of 775, 364, 594, 571, 869
• LCM of 268, 863, 409, 911, 158
• LCM of 109, 560, 958, 483, 193
• LCM of 184, 842, 809, 778, 286

1. What is the LCM of 346, 420, 767, 608, 355?

Answer: LCM of 346, 420, 767, 608, 355 is 601440534240.

2. How to calculate the LCM of 346, 420, 767, 608, 355?

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 346, 420, 767, 608, 355.

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}.