Given numbers are 992,110,149,292,881

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

The LCM of 992,110,149,292,881 is 522828674720.

Find LCM of 992,110,149,292,881 with Prime Factorization

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

2 x 2 x 248 x 55 x 149 x 73 x 881 = 522828674720

Therefore, the lowest common multiple of 992,110,149,292,881 is 522828674720.

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.

992 x 110 x 149 x 292 x 881 = 4182629397760

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.

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

110 : 1, 2, 5, 10, 11, 22, 55, 110

149 : 1, 149

292 : 1, 2, 4, 73, 146, 292

881 : 1, 881

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,110,149,292,881, is 1.

Now, the common factors can be found like this.

992:2x 2x 2x 2x 2x 31

110:2x 5x 11

149:149

292:2x 2x 73

881:881

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 2 = 8

Therefore, the value for common factors is 8.

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 = 4182629397760/(1x8)

LCM = 4182629397760/8

LCM = 522828674720

Thus, we can understand that the LCM of 992,110,149,292,881 is 522828674720.

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

• LCM of 129, 988, 130, 545, 426
• LCM of 331, 544, 469, 175, 717
• LCM of 411, 519, 596, 490, 706
• LCM of 205, 642, 980, 144, 598
• LCM of 416, 504, 739, 111, 187

1. What is the LCM of 992, 110, 149, 292, 881?

Answer: LCM of 992, 110, 149, 292, 881 is 522828674720.

2. How to calculate the LCM of 992, 110, 149, 292, 881?

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 992, 110, 149, 292, 881.

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}.