LCM of 969, 286, 272, 878, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 286, 272, 878, 390 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 969, 286, 272, 878, 390. So, keep reading to learn more.
Given numbers are 969,286,272,878,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,286,272,878,390 is 4866473040.
Find LCM of 969,286,272,878,390 with Prime Factorization
| 2 | 969, 286, 272, 878, 390 |
| 3 | 969, 143, 136, 439, 195 |
| 13 | 323, 143, 136, 439, 65 |
| 17 | 323, 11, 136, 439, 5 |
| 19, 11, 8, 439, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 19 x 11 x 8 x 439 x 5 = 4866473040
Therefore, the lowest common multiple of 969,286,272,878,390 is 4866473040.
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.
969 x 286 x 272 x 878 x 390 = 25811773004160
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
286 : 1, 2, 11, 13, 22, 26, 143, 286
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
878 : 1, 2, 439, 878
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,286,272,878,390, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
286:2x 11x 13
272:2x 2x 2x 2x 17
878:2x 439
390:2x 3x 5x 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 3x 13x 17 = 5304
Therefore, the value for common factors is 5304.
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 = 25811773004160/(1x5304)
LCM = 25811773004160/5304
LCM = 4866473040
Thus, we can understand that the LCM of 969,286,272,878,390 is 4866473040.
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FAQs on LCM of 969, 286, 272, 878, 390
1. What is the LCM of 969, 286, 272, 878, 390?
Answer: LCM of 969, 286, 272, 878, 390 is 4866473040.
2. How to calculate the LCM of 969, 286, 272, 878, 390?
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 969, 286, 272, 878, 390.
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}.