LCM of 128, 899, 352, 992, 541
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 128, 899, 352, 992, 541 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 128, 899, 352, 992, 541. So, keep reading to learn more.
Given numbers are 128,899,352,992,541
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,899,352,992,541 is 684793472.
Find LCM of 128,899,352,992,541 with Prime Factorization
| 2 | 128, 899, 352, 992, 541 |
| 2 | 64, 899, 176, 496, 541 |
| 2 | 32, 899, 88, 248, 541 |
| 2 | 16, 899, 44, 124, 541 |
| 2 | 8, 899, 22, 62, 541 |
| 31 | 4, 899, 11, 31, 541 |
| 4, 29, 11, 1, 541 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 31 x 4 x 29 x 11 x 1 x 541 = 684793472
Therefore, the lowest common multiple of 128,899,352,992,541 is 684793472.
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.
128 x 899 x 352 x 992 x 541 = 21738083975168
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
899 : 1, 29, 31, 899
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
541 : 1, 541
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,899,352,992,541, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
899:29x 31
352:2x 2x 2x 2x 2x 11
992:2x 2x 2x 2x 2x 31
541:541
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 2x 2x 2x 2x 2x 2x 2x 31 = 31744
Therefore, the value for common factors is 31744.
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 = 21738083975168/(1x31744)
LCM = 21738083975168/31744
LCM = 684793472
Thus, we can understand that the LCM of 128,899,352,992,541 is 684793472.
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FAQs on LCM of 128, 899, 352, 992, 541
1. What is the LCM of 128, 899, 352, 992, 541?
Answer: LCM of 128, 899, 352, 992, 541 is 684793472.
2. How to calculate the LCM of 128, 899, 352, 992, 541?
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 128, 899, 352, 992, 541.
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}.