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LCM of 396, 847, 255, 989, 795

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


Find the LCM of 396, 847, 255, 989, 795 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 396, 847, 255, 989, 795. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 396,847,255,989,795

Given numbers are 396,847,255,989,795

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

The LCM of 396,847,255,989,795 is 135855428940.

Find LCM of 396,847,255,989,795 with Prime Factorization


3 396, 847, 255, 989, 795
5 132, 847, 85, 989, 265
11 132, 847, 17, 989, 53
12, 77, 17, 989, 53

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

3 x 5 x 11 x 12 x 77 x 17 x 989 x 53 = 135855428940

Therefore, the lowest common multiple of 396,847,255,989,795 is 135855428940.

LCM Formula to Find Lowest Common Multiple of 396,847,255,989,795

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.

396 x 847 x 255 x 989 x 795 = 67248437325300

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

847 : 1, 7, 11, 77, 121, 847

255 : 1, 3, 5, 15, 17, 51, 85, 255

989 : 1, 23, 43, 989

795 : 1, 3, 5, 15, 53, 159, 265, 795

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,847,255,989,795, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

847:7x 11x 11

255:3x 5x 17

989:23x 43

795:3x 5x 53

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

3x 3x 5x 11 = 495

Therefore, the value for common factors is 495.

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 = 67248437325300/(1x495)

LCM = 67248437325300/495

LCM = 135855428940

Thus, we can understand that the LCM of 396,847,255,989,795 is 135855428940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 396, 847, 255, 989, 795

1. What is the LCM of 396, 847, 255, 989, 795?

Answer: LCM of 396, 847, 255, 989, 795 is 135855428940.

2. How to calculate the LCM of 396, 847, 255, 989, 795?

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 396, 847, 255, 989, 795.

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}.