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LCM of 396, 978, 130, 807

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


Find the LCM of 396, 978, 130, 807 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, 978, 130, 807. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 396,978,130,807

Given numbers are 396,978,130,807

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

The LCM of 396,978,130,807 is 1128621780.

Find LCM of 396,978,130,807 with Prime Factorization


2 396, 978, 130, 807
3 198, 489, 65, 807
66, 163, 65, 269

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

2 x 3 x 66 x 163 x 65 x 269 = 1128621780

Therefore, the lowest common multiple of 396,978,130,807 is 1128621780.

LCM Formula to Find Lowest Common Multiple of 396,978,130,807

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 978 x 130 x 807 = 40630384080

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

978 : 1, 2, 3, 6, 163, 326, 489, 978

130 : 1, 2, 5, 10, 13, 26, 65, 130

807 : 1, 3, 269, 807

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,978,130,807, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

978:2x 3x 163

130:2x 5x 13

807:3x 269

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 40630384080/(1x36)

LCM = 40630384080/36

LCM = 1128621780

Thus, we can understand that the LCM of 396,978,130,807 is 1128621780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 396, 978, 130, 807

1. What is the LCM of 396, 978, 130, 807?

Answer: LCM of 396, 978, 130, 807 is 1128621780.

2. How to calculate the LCM of 396, 978, 130, 807?

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, 978, 130, 807.

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}.