Given numbers are 390,660,149,445,962

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

The LCM of 390,660,149,445,962 is 4209837060.

Find LCM of 390,660,149,445,962 with Prime Factorization

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

2 x 3 x 5 x 13 x 1 x 22 x 149 x 89 x 37 = 4209837060

Therefore, the lowest common multiple of 390,660,149,445,962 is 4209837060.

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 660 x 149 x 445 x 962 = 16418364534000

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

149 : 1, 149

445 : 1, 5, 89, 445

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,660,149,445,962, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

660:2x 2x 3x 5x 11

149:149

445:5x 89

962:2x 13x 37

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 5x 5x 13 = 3900

Therefore, the value for common factors is 3900.

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 = 16418364534000/(1x3900)

LCM = 16418364534000/3900

LCM = 4209837060

Thus, we can understand that the LCM of 390,660,149,445,962 is 4209837060.

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

• LCM of 324, 470, 862, 566, 861
• LCM of 673, 730, 717, 695, 505
• LCM of 783, 833, 970, 893, 311
• LCM of 414, 674, 779, 950, 689
• LCM of 752, 423, 427, 114, 201

1. What is the LCM of 390, 660, 149, 445, 962?

Answer: LCM of 390, 660, 149, 445, 962 is 4209837060.

2. How to calculate the LCM of 390, 660, 149, 445, 962?

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, 660, 149, 445, 962.

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}.