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LCM of 197, 708, 622, 792, 812

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 197, 708, 622, 792, 812 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 197, 708, 622, 792, 812. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 197,708,622,792,812

Given numbers are 197,708,622,792,812

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

The LCM of 197,708,622,792,812 is 581165528328.

Find LCM of 197,708,622,792,812 with Prime Factorization


2 197, 708, 622, 792, 812
2 197, 354, 311, 396, 406
3 197, 177, 311, 198, 203
197, 59, 311, 66, 203

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

2 x 2 x 3 x 197 x 59 x 311 x 66 x 203 = 581165528328

Therefore, the lowest common multiple of 197,708,622,792,812 is 581165528328.

LCM Formula to Find Lowest Common Multiple of 197,708,622,792,812

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.

197 x 708 x 622 x 792 x 812 = 55791890719488

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.

197 : 1, 197

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

622 : 1, 2, 311, 622

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,708,622,792,812, is 1.

Now, the common factors can be found like this.

197:197

708:2x 2x 3x 59

622:2x 311

792:2x 2x 2x 3x 3x 11

812:2x 2x 7x 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 2x 2x 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 55791890719488/(1x96)

LCM = 55791890719488/96

LCM = 581165528328

Thus, we can understand that the LCM of 197,708,622,792,812 is 581165528328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 197, 708, 622, 792, 812

1. What is the LCM of 197, 708, 622, 792, 812?

Answer: LCM of 197, 708, 622, 792, 812 is 581165528328.

2. How to calculate the LCM of 197, 708, 622, 792, 812?

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 197, 708, 622, 792, 812.

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}.