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LCM of 521, 482, 989, 333, 162

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


Find the LCM of 521, 482, 989, 333, 162 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 521, 482, 989, 333, 162. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 521,482,989,333,162

Given numbers are 521,482,989,333,162

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

The LCM of 521,482,989,333,162 is 744333895026.

Find LCM of 521,482,989,333,162 with Prime Factorization


2 521, 482, 989, 333, 162
3 521, 241, 989, 333, 81
3 521, 241, 989, 111, 27
521, 241, 989, 37, 9

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

2 x 3 x 3 x 521 x 241 x 989 x 37 x 9 = 744333895026

Therefore, the lowest common multiple of 521,482,989,333,162 is 744333895026.

LCM Formula to Find Lowest Common Multiple of 521,482,989,333,162

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.

521 x 482 x 989 x 333 x 162 = 13398010110468

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.

521 : 1, 521

482 : 1, 2, 241, 482

989 : 1, 23, 43, 989

333 : 1, 3, 9, 37, 111, 333

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,482,989,333,162, is 1.

Now, the common factors can be found like this.

521:521

482:2x 241

989:23x 43

333:3x 3x 37

162:2x 3x 3x 3x 3

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 13398010110468/(1x18)

LCM = 13398010110468/18

LCM = 744333895026

Thus, we can understand that the LCM of 521,482,989,333,162 is 744333895026.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 521, 482, 989, 333, 162

1. What is the LCM of 521, 482, 989, 333, 162?

Answer: LCM of 521, 482, 989, 333, 162 is 744333895026.

2. How to calculate the LCM of 521, 482, 989, 333, 162?

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 521, 482, 989, 333, 162.

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}.