Given numbers are 390,204,937,775,522

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

The LCM of 390,204,937,775,522 is 167546000700.

Find LCM of 390,204,937,775,522 with Prime Factorization

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

2 x 3 x 5 x 13 x 34 x 937 x 155 x 87 = 167546000700

Therefore, the lowest common multiple of 390,204,937,775,522 is 167546000700.

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.

390 x 204 x 937 x 775 x 522 = 30158280126000

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.

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

937 : 1, 937

775 : 1, 5, 25, 31, 155, 775

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,204,937,775,522, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

204:2x 2x 3x 17

937:937

775:5x 5x 31

522:2x 3x 3x 29

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 5 = 180

Therefore, the value for common factors is 180.

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 = 30158280126000/(1x180)

LCM = 30158280126000/180

LCM = 167546000700

Thus, we can understand that the LCM of 390,204,937,775,522 is 167546000700.

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

• LCM of 448, 895, 334, 554, 770
• LCM of 232, 451, 811, 346, 804
• LCM of 992, 552, 852, 811, 141
• LCM of 861, 376, 345, 807, 983
• LCM of 761, 295, 452, 650, 941

1. What is the LCM of 390, 204, 937, 775, 522?

Answer: LCM of 390, 204, 937, 775, 522 is 167546000700.

2. How to calculate the LCM of 390, 204, 937, 775, 522?

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 390, 204, 937, 775, 522.

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}.