LCM of 248, 214, 260, 965, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 248, 214, 260, 965, 312 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 248, 214, 260, 965, 312. So, keep reading to learn more.
Given numbers are 248,214,260,965,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,214,260,965,312 is 998682360.
Find LCM of 248,214,260,965,312 with Prime Factorization
| 2 | 248, 214, 260, 965, 312 |
| 2 | 124, 107, 130, 965, 156 |
| 2 | 62, 107, 65, 965, 78 |
| 5 | 31, 107, 65, 965, 39 |
| 13 | 31, 107, 13, 193, 39 |
| 31, 107, 1, 193, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 31 x 107 x 1 x 193 x 3 = 998682360
Therefore, the lowest common multiple of 248,214,260,965,312 is 998682360.
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.
248 x 214 x 260 x 965 x 312 = 4154518617600
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
214 : 1, 2, 107, 214
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
965 : 1, 5, 193, 965
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,214,260,965,312, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
214:2x 107
260:2x 2x 5x 13
965:5x 193
312:2x 2x 2x 3x 13
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 5x 13 = 4160
Therefore, the value for common factors is 4160.
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 = 4154518617600/(1x4160)
LCM = 4154518617600/4160
LCM = 998682360
Thus, we can understand that the LCM of 248,214,260,965,312 is 998682360.
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FAQs on LCM of 248, 214, 260, 965, 312
1. What is the LCM of 248, 214, 260, 965, 312?
Answer: LCM of 248, 214, 260, 965, 312 is 998682360.
2. How to calculate the LCM of 248, 214, 260, 965, 312?
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 248, 214, 260, 965, 312.
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}.