LCM of 906, 432, 115, 595, 365
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 432, 115, 595, 365 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 906, 432, 115, 595, 365. So, keep reading to learn more.
Given numbers are 906,432,115,595,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,432,115,595,365 is 65167094160.
Find LCM of 906,432,115,595,365 with Prime Factorization
| 2 | 906, 432, 115, 595, 365 |
| 3 | 453, 216, 115, 595, 365 |
| 5 | 151, 72, 115, 595, 365 |
| 151, 72, 23, 119, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 151 x 72 x 23 x 119 x 73 = 65167094160
Therefore, the lowest common multiple of 906,432,115,595,365 is 65167094160.
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.
906 x 432 x 115 x 595 x 365 = 9775064124000
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
115 : 1, 5, 23, 115
595 : 1, 5, 7, 17, 35, 85, 119, 595
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,432,115,595,365, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
432:2x 2x 2x 2x 3x 3x 3
115:5x 23
595:5x 7x 17
365:5x 73
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 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 9775064124000/(1x150)
LCM = 9775064124000/150
LCM = 65167094160
Thus, we can understand that the LCM of 906,432,115,595,365 is 65167094160.
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FAQs on LCM of 906, 432, 115, 595, 365
1. What is the LCM of 906, 432, 115, 595, 365?
Answer: LCM of 906, 432, 115, 595, 365 is 65167094160.
2. How to calculate the LCM of 906, 432, 115, 595, 365?
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 906, 432, 115, 595, 365.
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}.