LCM of 254, 916, 728, 296, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 916, 728, 296, 400 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 254, 916, 728, 296, 400. So, keep reading to learn more.
Given numbers are 254,916,728,296,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,916,728,296,400 is 39168984400.
Find LCM of 254,916,728,296,400 with Prime Factorization
| 2 | 254, 916, 728, 296, 400 |
| 2 | 127, 458, 364, 148, 200 |
| 2 | 127, 229, 182, 74, 100 |
| 127, 229, 91, 37, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 127 x 229 x 91 x 37 x 50 = 39168984400
Therefore, the lowest common multiple of 254,916,728,296,400 is 39168984400.
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.
254 x 916 x 728 x 296 x 400 = 20054520012800
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.
254 : 1, 2, 127, 254
916 : 1, 2, 4, 229, 458, 916
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
296 : 1, 2, 4, 8, 37, 74, 148, 296
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,916,728,296,400, is 2.
Now, the common factors can be found like this.
254:2x 127
916:2x 2x 229
728:2x 2x 2x 7x 13
296:2x 2x 2x 37
400:2x 2x 2x 2x 5x 5
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 2 = 256
Therefore, the value for common factors is 256.
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 = 20054520012800/(2x256)
LCM = 20054520012800/512
LCM = 39168984400
Thus, we can understand that the LCM of 254,916,728,296,400 is 39168984400.
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FAQs on LCM of 254, 916, 728, 296, 400
1. What is the LCM of 254, 916, 728, 296, 400?
Answer: LCM of 254, 916, 728, 296, 400 is 39168984400.
2. How to calculate the LCM of 254, 916, 728, 296, 400?
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 254, 916, 728, 296, 400.
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}.