Given numbers are 351,624,138,390

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

The LCM of 351,624,138,390 is 645840.

Find LCM of 351,624,138,390 with Prime Factorization

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

2 x 3 x 13 x 9 x 8 x 23 x 5 = 645840

Therefore, the lowest common multiple of 351,624,138,390 is 645840.

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.

351 x 624 x 138 x 390 = 11787871680

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,624,138,390, is 3.

Now, the common factors can be found like this.

351:3x 3x 3x 13

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

138:2x 3x 23

390:2x 3x 5x 13

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 3x 3x 13x 13 = 6084

Therefore, the value for common factors is 6084.

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 = 11787871680/(3x6084)

LCM = 11787871680/18252

LCM = 645840

Thus, we can understand that the LCM of 351,624,138,390 is 645840.

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

• LCM of 678, 537, 941, 125
• LCM of 557, 125, 721, 624
• LCM of 813, 970, 755, 332
• LCM of 923, 329, 766, 716
• LCM of 123, 624, 264, 298

1. What is the LCM of 351, 624, 138, 390?

Answer: LCM of 351, 624, 138, 390 is 645840.

2. How to calculate the LCM of 351, 624, 138, 390?

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 351, 624, 138, 390.

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}.