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LCM of 396, 964, 882, 876, 133

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


Find the LCM of 396, 964, 882, 876, 133 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, 964, 882, 876, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 396,964,882,876,133

Given numbers are 396,964,882,876,133

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

The LCM of 396,964,882,876,133 is 6486116868.

Find LCM of 396,964,882,876,133 with Prime Factorization


2 396, 964, 882, 876, 133
2 198, 482, 441, 438, 133
3 99, 241, 441, 219, 133
3 33, 241, 147, 73, 133
7 11, 241, 49, 73, 133
11, 241, 7, 73, 19

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

2 x 2 x 3 x 3 x 7 x 11 x 241 x 7 x 73 x 19 = 6486116868

Therefore, the lowest common multiple of 396,964,882,876,133 is 6486116868.

LCM Formula to Find Lowest Common Multiple of 396,964,882,876,133

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 964 x 882 x 876 x 133 = 39228034817664

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

964 : 1, 2, 4, 241, 482, 964

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,964,882,876,133, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

964:2x 2x 241

882:2x 3x 3x 7x 7

876:2x 2x 3x 73

133:7x 19

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 3x 3x 3x 7 = 6048

Therefore, the value for common factors is 6048.

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 = 39228034817664/(1x6048)

LCM = 39228034817664/6048

LCM = 6486116868

Thus, we can understand that the LCM of 396,964,882,876,133 is 6486116868.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 396, 964, 882, 876, 133

1. What is the LCM of 396, 964, 882, 876, 133?

Answer: LCM of 396, 964, 882, 876, 133 is 6486116868.

2. How to calculate the LCM of 396, 964, 882, 876, 133?

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, 964, 882, 876, 133.

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}.