LCM of 801, 590, 495, 899, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 801, 590, 495, 899, 609 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 801, 590, 495, 899, 609. So, keep reading to learn more.
Given numbers are 801,590,495,899,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 801,590,495,899,609 is 32714097570.
Find LCM of 801,590,495,899,609 with Prime Factorization
| 3 | 801, 590, 495, 899, 609 |
| 3 | 267, 590, 165, 899, 203 |
| 5 | 89, 590, 55, 899, 203 |
| 29 | 89, 118, 11, 899, 203 |
| 89, 118, 11, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 29 x 89 x 118 x 11 x 31 x 7 = 32714097570
Therefore, the lowest common multiple of 801,590,495,899,609 is 32714097570.
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.
801 x 590 x 495 x 899 x 609 = 128075691986550
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.
801 : 1, 3, 9, 89, 267, 801
590 : 1, 2, 5, 10, 59, 118, 295, 590
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
899 : 1, 29, 31, 899
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,590,495,899,609, is 1.
Now, the common factors can be found like this.
801:3x 3x 89
590:2x 5x 59
495:3x 3x 5x 11
899:29x 31
609:3x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 29 = 3915
Therefore, the value for common factors is 3915.
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 = 128075691986550/(1x3915)
LCM = 128075691986550/3915
LCM = 32714097570
Thus, we can understand that the LCM of 801,590,495,899,609 is 32714097570.
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FAQs on LCM of 801, 590, 495, 899, 609
1. What is the LCM of 801, 590, 495, 899, 609?
Answer: LCM of 801, 590, 495, 899, 609 is 32714097570.
2. How to calculate the LCM of 801, 590, 495, 899, 609?
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 801, 590, 495, 899, 609.
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}.