Given numbers are 990,705,855,121,974

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

The LCM of 990,705,855,121,974 is 4735962990.

Find LCM of 990,705,855,121,974 with Prime Factorization

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

2 x 3 x 3 x 5 x 11 x 1 x 47 x 19 x 11 x 487 = 4735962990

Therefore, the lowest common multiple of 990,705,855,121,974 is 4735962990.

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.

990 x 705 x 855 x 121 x 974 = 70329050401500

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

705 : 1, 3, 5, 15, 47, 141, 235, 705

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

121 : 1, 11, 121

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,705,855,121,974, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

705:3x 5x 47

855:3x 3x 5x 19

121:11x 11

974:2x 487

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 5x 5x 11 = 14850

Therefore, the value for common factors is 14850.

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 = 70329050401500/(1x14850)

LCM = 70329050401500/14850

LCM = 4735962990

Thus, we can understand that the LCM of 990,705,855,121,974 is 4735962990.

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

• LCM of 580, 275, 396, 260, 136
• LCM of 562, 328, 651, 836, 170
• LCM of 225, 664, 792, 259, 257
• LCM of 433, 430, 920, 568, 718
• LCM of 615, 576, 128, 476, 694

1. What is the LCM of 990, 705, 855, 121, 974?

Answer: LCM of 990, 705, 855, 121, 974 is 4735962990.

2. How to calculate the LCM of 990, 705, 855, 121, 974?

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 990, 705, 855, 121, 974.

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}.