LCM of 969, 272, 663, 390, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 272, 663, 390, 190 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, 272, 663, 390, 190. So, keep reading to learn more.
Given numbers are 969,272,663,390,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,272,663,390,190 is 1007760.
Find LCM of 969,272,663,390,190 with Prime Factorization
| 2 | 969, 272, 663, 390, 190 |
| 3 | 969, 136, 663, 195, 95 |
| 5 | 323, 136, 221, 65, 95 |
| 13 | 323, 136, 221, 13, 19 |
| 17 | 323, 136, 17, 1, 19 |
| 19 | 19, 8, 1, 1, 19 |
| 1, 8, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 17 x 19 x 1 x 8 x 1 x 1 x 1 = 1007760
Therefore, the lowest common multiple of 969,272,663,390,190 is 1007760.
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 272 x 663 x 390 x 190 = 12948647774400
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
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
663 : 1, 3, 13, 17, 39, 51, 221, 663
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,272,663,390,190, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
272:2x 2x 2x 2x 17
663:3x 13x 17
390:2x 3x 5x 13
190:2x 5x 19
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 3x 3x 5x 13x 17x 17x 19 = 12848940
Therefore, the value for common factors is 12848940.
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 = 12948647774400/(1x12848940)
LCM = 12948647774400/12848940
LCM = 1007760
Thus, we can understand that the LCM of 969,272,663,390,190 is 1007760.
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FAQs on LCM of 969, 272, 663, 390, 190
1. What is the LCM of 969, 272, 663, 390, 190?
Answer: LCM of 969, 272, 663, 390, 190 is 1007760.
2. How to calculate the LCM of 969, 272, 663, 390, 190?
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, 272, 663, 390, 190.
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}.