LCM of 238, 768, 416, 447, 889
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 768, 416, 447, 889 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 238, 768, 416, 447, 889. So, keep reading to learn more.
Given numbers are 238,768,416,447,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,768,416,447,889 is 22482340608.
Find LCM of 238,768,416,447,889 with Prime Factorization
| 2 | 238, 768, 416, 447, 889 |
| 2 | 119, 384, 208, 447, 889 |
| 2 | 119, 192, 104, 447, 889 |
| 2 | 119, 96, 52, 447, 889 |
| 2 | 119, 48, 26, 447, 889 |
| 3 | 119, 24, 13, 447, 889 |
| 7 | 119, 8, 13, 149, 889 |
| 17, 8, 13, 149, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 8 x 13 x 149 x 127 = 22482340608
Therefore, the lowest common multiple of 238,768,416,447,889 is 22482340608.
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.
238 x 768 x 416 x 447 x 889 = 30216265777152
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
447 : 1, 3, 149, 447
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,768,416,447,889, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
768:2x 2x 2x 2x 2x 2x 2x 2x 3
416:2x 2x 2x 2x 2x 13
447:3x 149
889:7x 127
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 3x 7 = 1344
Therefore, the value for common factors is 1344.
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 = 30216265777152/(1x1344)
LCM = 30216265777152/1344
LCM = 22482340608
Thus, we can understand that the LCM of 238,768,416,447,889 is 22482340608.
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FAQs on LCM of 238, 768, 416, 447, 889
1. What is the LCM of 238, 768, 416, 447, 889?
Answer: LCM of 238, 768, 416, 447, 889 is 22482340608.
2. How to calculate the LCM of 238, 768, 416, 447, 889?
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 238, 768, 416, 447, 889.
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}.