LCM of 555, 961, 899, 138, 232
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 555, 961, 899, 138, 232 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 555, 961, 899, 138, 232. So, keep reading to learn more.
Given numbers are 555,961,899,138,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 555,961,899,138,232 is 2845982280.
Find LCM of 555,961,899,138,232 with Prime Factorization
| 2 | 555, 961, 899, 138, 232 |
| 3 | 555, 961, 899, 69, 116 |
| 29 | 185, 961, 899, 23, 116 |
| 31 | 185, 961, 31, 23, 4 |
| 185, 1, 31, 23, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 31 x 185 x 1 x 31 x 23 x 4 = 2845982280
Therefore, the lowest common multiple of 555,961,899,138,232 is 2845982280.
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.
555 x 961 x 899 x 138 x 232 = 15351228418320
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.
555 : 1, 3, 5, 15, 37, 111, 185, 555
961 : 1, 31, 961
899 : 1, 29, 31, 899
138 : 1, 2, 3, 6, 23, 46, 69, 138
232 : 1, 2, 4, 8, 29, 58, 116, 232
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,961,899,138,232, is 1.
Now, the common factors can be found like this.
555:3x 5x 37
961:31x 31
899:29x 31
138:2x 3x 23
232:2x 2x 2x 29
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 29x 31 = 5394
Therefore, the value for common factors is 5394.
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 = 15351228418320/(1x5394)
LCM = 15351228418320/5394
LCM = 2845982280
Thus, we can understand that the LCM of 555,961,899,138,232 is 2845982280.
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FAQs on LCM of 555, 961, 899, 138, 232
1. What is the LCM of 555, 961, 899, 138, 232?
Answer: LCM of 555, 961, 899, 138, 232 is 2845982280.
2. How to calculate the LCM of 555, 961, 899, 138, 232?
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 555, 961, 899, 138, 232.
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}.