LCM of 997, 560, 442, 915, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 997, 560, 442, 915, 204 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 997, 560, 442, 915, 204. So, keep reading to learn more.
Given numbers are 997,560,442,915,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,560,442,915,204 is 22580135760.
Find LCM of 997,560,442,915,204 with Prime Factorization
| 2 | 997, 560, 442, 915, 204 |
| 2 | 997, 280, 221, 915, 102 |
| 3 | 997, 140, 221, 915, 51 |
| 5 | 997, 140, 221, 305, 17 |
| 17 | 997, 28, 221, 61, 17 |
| 997, 28, 13, 61, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 997 x 28 x 13 x 61 x 1 = 22580135760
Therefore, the lowest common multiple of 997,560,442,915,204 is 22580135760.
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.
997 x 560 x 442 x 915 x 204 = 46063476950400
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.
997 : 1, 997
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
442 : 1, 2, 13, 17, 26, 34, 221, 442
915 : 1, 3, 5, 15, 61, 183, 305, 915
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,560,442,915,204, is 1.
Now, the common factors can be found like this.
997:997
560:2x 2x 2x 2x 5x 7
442:2x 13x 17
915:3x 5x 61
204:2x 2x 3x 17
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 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 46063476950400/(1x2040)
LCM = 46063476950400/2040
LCM = 22580135760
Thus, we can understand that the LCM of 997,560,442,915,204 is 22580135760.
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FAQs on LCM of 997, 560, 442, 915, 204
1. What is the LCM of 997, 560, 442, 915, 204?
Answer: LCM of 997, 560, 442, 915, 204 is 22580135760.
2. How to calculate the LCM of 997, 560, 442, 915, 204?
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 997, 560, 442, 915, 204.
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}.