LCM of 808, 987, 254, 312, 939
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 987, 254, 312, 939 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 808, 987, 254, 312, 939. So, keep reading to learn more.
Given numbers are 808,987,254,312,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,987,254,312,939 is 412116425448.
Find LCM of 808,987,254,312,939 with Prime Factorization
| 2 | 808, 987, 254, 312, 939 |
| 2 | 404, 987, 127, 156, 939 |
| 2 | 202, 987, 127, 78, 939 |
| 3 | 101, 987, 127, 39, 939 |
| 101, 329, 127, 13, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 101 x 329 x 127 x 13 x 313 = 412116425448
Therefore, the lowest common multiple of 808,987,254,312,939 is 412116425448.
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.
808 x 987 x 254 x 312 x 939 = 59344765264512
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
987 : 1, 3, 7, 21, 47, 141, 329, 987
254 : 1, 2, 127, 254
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,987,254,312,939, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
987:3x 7x 47
254:2x 127
312:2x 2x 2x 3x 13
939:3x 313
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 59344765264512/(1x144)
LCM = 59344765264512/144
LCM = 412116425448
Thus, we can understand that the LCM of 808,987,254,312,939 is 412116425448.
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FAQs on LCM of 808, 987, 254, 312, 939
1. What is the LCM of 808, 987, 254, 312, 939?
Answer: LCM of 808, 987, 254, 312, 939 is 412116425448.
2. How to calculate the LCM of 808, 987, 254, 312, 939?
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 808, 987, 254, 312, 939.
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}.