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LCM of 489, 876, 692, 182, 395

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


Find the LCM of 489, 876, 692, 182, 395 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, 876, 692, 182, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,876,692,182,395

Given numbers are 489,876,692,182,395

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

The LCM of 489,876,692,182,395 is 887925036180.

Find LCM of 489,876,692,182,395 with Prime Factorization


2 489, 876, 692, 182, 395
2 489, 438, 346, 91, 395
3 489, 219, 173, 91, 395
163, 73, 173, 91, 395

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

2 x 2 x 3 x 163 x 73 x 173 x 91 x 395 = 887925036180

Therefore, the lowest common multiple of 489,876,692,182,395 is 887925036180.

LCM Formula to Find Lowest Common Multiple of 489,876,692,182,395

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 876 x 692 x 182 x 395 = 21310200868320

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

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

692 : 1, 2, 4, 173, 346, 692

182 : 1, 2, 7, 13, 14, 26, 91, 182

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,876,692,182,395, is 1.

Now, the common factors can be found like this.

489:3x 163

876:2x 2x 3x 73

692:2x 2x 173

182:2x 7x 13

395:5x 79

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 3 = 24

Therefore, the value for common factors is 24.

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 = 21310200868320/(1x24)

LCM = 21310200868320/24

LCM = 887925036180

Thus, we can understand that the LCM of 489,876,692,182,395 is 887925036180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 876, 692, 182, 395

1. What is the LCM of 489, 876, 692, 182, 395?

Answer: LCM of 489, 876, 692, 182, 395 is 887925036180.

2. How to calculate the LCM of 489, 876, 692, 182, 395?

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, 876, 692, 182, 395.

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}.