LCM of 328, 416, 247, 589, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 416, 247, 589, 904 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 328, 416, 247, 589, 904. So, keep reading to learn more.
Given numbers are 328,416,247,589,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,416,247,589,904 is 1135196192.
Find LCM of 328,416,247,589,904 with Prime Factorization
| 2 | 328, 416, 247, 589, 904 |
| 2 | 164, 208, 247, 589, 452 |
| 2 | 82, 104, 247, 589, 226 |
| 13 | 41, 52, 247, 589, 113 |
| 19 | 41, 4, 19, 589, 113 |
| 41, 4, 1, 31, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 19 x 41 x 4 x 1 x 31 x 113 = 1135196192
Therefore, the lowest common multiple of 328,416,247,589,904 is 1135196192.
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.
328 x 416 x 247 x 589 x 904 = 17945181403136
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
247 : 1, 13, 19, 247
589 : 1, 19, 31, 589
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,416,247,589,904, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
416:2x 2x 2x 2x 2x 13
247:13x 19
589:19x 31
904:2x 2x 2x 113
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 13x 19 = 15808
Therefore, the value for common factors is 15808.
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 = 17945181403136/(1x15808)
LCM = 17945181403136/15808
LCM = 1135196192
Thus, we can understand that the LCM of 328,416,247,589,904 is 1135196192.
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FAQs on LCM of 328, 416, 247, 589, 904
1. What is the LCM of 328, 416, 247, 589, 904?
Answer: LCM of 328, 416, 247, 589, 904 is 1135196192.
2. How to calculate the LCM of 328, 416, 247, 589, 904?
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 328, 416, 247, 589, 904.
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}.