LCM of 408, 188, 897, 286, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 188, 897, 286, 145 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 408, 188, 897, 286, 145. So, keep reading to learn more.
Given numbers are 408,188,897,286,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,188,897,286,145 is 9145130280.
Find LCM of 408,188,897,286,145 with Prime Factorization
| 2 | 408, 188, 897, 286, 145 |
| 2 | 204, 94, 897, 143, 145 |
| 3 | 102, 47, 897, 143, 145 |
| 13 | 34, 47, 299, 143, 145 |
| 34, 47, 23, 11, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 34 x 47 x 23 x 11 x 145 = 9145130280
Therefore, the lowest common multiple of 408,188,897,286,145 is 9145130280.
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.
408 x 188 x 897 x 286 x 145 = 2853280647360
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
188 : 1, 2, 4, 47, 94, 188
897 : 1, 3, 13, 23, 39, 69, 299, 897
286 : 1, 2, 11, 13, 22, 26, 143, 286
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,188,897,286,145, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
188:2x 2x 47
897:3x 13x 23
286:2x 11x 13
145:5x 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 2x 2x 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 2853280647360/(1x312)
LCM = 2853280647360/312
LCM = 9145130280
Thus, we can understand that the LCM of 408,188,897,286,145 is 9145130280.
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FAQs on LCM of 408, 188, 897, 286, 145
1. What is the LCM of 408, 188, 897, 286, 145?
Answer: LCM of 408, 188, 897, 286, 145 is 9145130280.
2. How to calculate the LCM of 408, 188, 897, 286, 145?
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 408, 188, 897, 286, 145.
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}.