Given numbers are 342,654,624,921,438

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

The LCM of 342,654,624,921,438 is 86885474832.

Find LCM of 342,654,624,921,438 with Prime Factorization

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

2 x 3 x 57 x 109 x 104 x 307 x 73 = 86885474832

Therefore, the lowest common multiple of 342,654,624,921,438 is 86885474832.

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 654 x 624 x 921 x 438 = 56301787691136

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

654 : 1, 2, 3, 6, 109, 218, 327, 654

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

921 : 1, 3, 307, 921

438 : 1, 2, 3, 6, 73, 146, 219, 438

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,654,624,921,438, is 3.

Now, the common factors can be found like this.

342:2x 3x 3x 19

654:2x 3x 109

624:2x 2x 2x 2x 3x 13

921:3x 307

438:2x 3x 73

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 3 = 216

Therefore, the value for common factors is 216.

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 = 56301787691136/(3x216)

LCM = 56301787691136/648

LCM = 86885474832

Thus, we can understand that the LCM of 342,654,624,921,438 is 86885474832.

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

• LCM of 758, 731, 578, 873, 272
• LCM of 208, 875, 541, 775, 126
• LCM of 632, 285, 343, 100, 786
• LCM of 363, 507, 820, 259, 105
• LCM of 381, 604, 461, 165, 215

1. What is the LCM of 342, 654, 624, 921, 438?

Answer: LCM of 342, 654, 624, 921, 438 is 86885474832.

2. How to calculate the LCM of 342, 654, 624, 921, 438?

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, 654, 624, 921, 438.

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}.