Given numbers are 997,214,642,509,805

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

The LCM of 997,214,642,509,805 is 262267121130.

Find LCM of 997,214,642,509,805 with Prime Factorization

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

2 x 107 x 997 x 1 x 3 x 509 x 805 = 262267121130

Therefore, the lowest common multiple of 997,214,642,509,805 is 262267121130.

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.

997 x 214 x 642 x 509 x 805 = 56125163921820

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.

997 : 1, 997

214 : 1, 2, 107, 214

642 : 1, 2, 3, 6, 107, 214, 321, 642

509 : 1, 509

805 : 1, 5, 7, 23, 35, 115, 161, 805

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,214,642,509,805, is 1.

Now, the common factors can be found like this.

997:997

214:2x 107

642:2x 3x 107

509:509

805:5x 7x 23

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 56125163921820/(1x214)

LCM = 56125163921820/214

LCM = 262267121130

Thus, we can understand that the LCM of 997,214,642,509,805 is 262267121130.

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

• LCM of 308, 125, 628, 544, 899
• LCM of 897, 636, 970, 793, 658
• LCM of 465, 144, 550, 963, 861
• LCM of 554, 214, 980, 279, 380
• LCM of 435, 621, 273, 492, 171

1. What is the LCM of 997, 214, 642, 509, 805?

Answer: LCM of 997, 214, 642, 509, 805 is 262267121130.

2. How to calculate the LCM of 997, 214, 642, 509, 805?

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 997, 214, 642, 509, 805.

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}.