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LCM of 489, 156, 395, 803, 132

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


Find the LCM of 489, 156, 395, 803, 132 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 489, 156, 395, 803, 132. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,156,395,803,132

Given numbers are 489,156,395,803,132

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

The LCM of 489,156,395,803,132 is 8065380180.

Find LCM of 489,156,395,803,132 with Prime Factorization


2 489, 156, 395, 803, 132
2 489, 78, 395, 803, 66
3 489, 39, 395, 803, 33
11 163, 13, 395, 803, 11
163, 13, 395, 73, 1

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

2 x 2 x 3 x 11 x 163 x 13 x 395 x 73 x 1 = 8065380180

Therefore, the lowest common multiple of 489,156,395,803,132 is 8065380180.

LCM Formula to Find Lowest Common Multiple of 489,156,395,803,132

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.

489 x 156 x 395 x 803 x 132 = 3193890551280

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.

489 : 1, 3, 163, 489

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

395 : 1, 5, 79, 395

803 : 1, 11, 73, 803

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,156,395,803,132, is 1.

Now, the common factors can be found like this.

489:3x 163

156:2x 2x 3x 13

395:5x 79

803:11x 73

132:2x 2x 3x 11

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 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 3193890551280/(1x396)

LCM = 3193890551280/396

LCM = 8065380180

Thus, we can understand that the LCM of 489,156,395,803,132 is 8065380180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 156, 395, 803, 132

1. What is the LCM of 489, 156, 395, 803, 132?

Answer: LCM of 489, 156, 395, 803, 132 is 8065380180.

2. How to calculate the LCM of 489, 156, 395, 803, 132?

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 489, 156, 395, 803, 132.

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}.