LCM of 160, 925, 518, 825, 441
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 925, 518, 825, 441 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 160, 925, 518, 825, 441. So, keep reading to learn more.
Given numbers are 160,925,518,825,441
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,925,518,825,441 is 143589600.
Find LCM of 160,925,518,825,441 with Prime Factorization
| 2 | 160, 925, 518, 825, 441 |
| 3 | 80, 925, 259, 825, 441 |
| 5 | 80, 925, 259, 275, 147 |
| 5 | 16, 185, 259, 55, 147 |
| 7 | 16, 37, 259, 11, 147 |
| 37 | 16, 37, 37, 11, 21 |
| 16, 1, 1, 11, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 37 x 16 x 1 x 1 x 11 x 21 = 143589600
Therefore, the lowest common multiple of 160,925,518,825,441 is 143589600.
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.
160 x 925 x 518 x 825 x 441 = 27892279800000
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.
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
925 : 1, 5, 25, 37, 185, 925
518 : 1, 2, 7, 14, 37, 74, 259, 518
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,925,518,825,441, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
925:5x 5x 37
518:2x 7x 37
825:3x 5x 5x 11
441:3x 3x 7x 7
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 5x 5x 7x 37 = 194250
Therefore, the value for common factors is 194250.
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 = 27892279800000/(1x194250)
LCM = 27892279800000/194250
LCM = 143589600
Thus, we can understand that the LCM of 160,925,518,825,441 is 143589600.
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FAQs on LCM of 160, 925, 518, 825, 441
1. What is the LCM of 160, 925, 518, 825, 441?
Answer: LCM of 160, 925, 518, 825, 441 is 143589600.
2. How to calculate the LCM of 160, 925, 518, 825, 441?
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 160, 925, 518, 825, 441.
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}.