Given numbers are 342,454,858,346,544

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

The LCM of 342,454,858,346,544 is 522399807072.

Find LCM of 342,454,858,346,544 with Prime Factorization

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

2 x 3 x 57 x 227 x 143 x 173 x 272 = 522399807072

Therefore, the lowest common multiple of 342,454,858,346,544 is 522399807072.

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.

342 x 454 x 858 x 346 x 544 = 25075190739456

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

454 : 1, 2, 227, 454

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

346 : 1, 2, 173, 346

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,454,858,346,544, is 2.

Now, the common factors can be found like this.

342:2x 3x 3x 19

454:2x 227

858:2x 3x 11x 13

346:2x 173

544:2x 2x 2x 2x 2x 17

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 3 = 24

Therefore, the value for common factors is 24.

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 = 25075190739456/(2x24)

LCM = 25075190739456/48

LCM = 522399807072

Thus, we can understand that the LCM of 342,454,858,346,544 is 522399807072.

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

• LCM of 411, 120, 595, 838, 322
• LCM of 676, 561, 945, 510, 318
• LCM of 707, 601, 340, 843, 955
• LCM of 889, 452, 157, 402, 450
• LCM of 546, 996, 993, 583, 307

1. What is the LCM of 342, 454, 858, 346, 544?

Answer: LCM of 342, 454, 858, 346, 544 is 522399807072.

2. How to calculate the LCM of 342, 454, 858, 346, 544?

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 342, 454, 858, 346, 544.

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}.