LCM of 207, 442, 315, 754, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 207, 442, 315, 754, 170 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 207, 442, 315, 754, 170. So, keep reading to learn more.
Given numbers are 207,442,315,754,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 207,442,315,754,170 is 92866410.
Find LCM of 207,442,315,754,170 with Prime Factorization
| 2 | 207, 442, 315, 754, 170 |
| 3 | 207, 221, 315, 377, 85 |
| 3 | 69, 221, 105, 377, 85 |
| 5 | 23, 221, 35, 377, 85 |
| 13 | 23, 221, 7, 377, 17 |
| 17 | 23, 17, 7, 29, 17 |
| 23, 1, 7, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 17 x 23 x 1 x 7 x 29 x 1 = 92866410
Therefore, the lowest common multiple of 207,442,315,754,170 is 92866410.
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.
207 x 442 x 315 x 754 x 170 = 3694225789800
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.
207 : 1, 3, 9, 23, 69, 207
442 : 1, 2, 13, 17, 26, 34, 221, 442
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
754 : 1, 2, 13, 26, 29, 58, 377, 754
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,442,315,754,170, is 1.
Now, the common factors can be found like this.
207:3x 3x 23
442:2x 13x 17
315:3x 3x 5x 7
754:2x 13x 29
170:2x 5x 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 3x 3x 5x 13x 17 = 39780
Therefore, the value for common factors is 39780.
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 = 3694225789800/(1x39780)
LCM = 3694225789800/39780
LCM = 92866410
Thus, we can understand that the LCM of 207,442,315,754,170 is 92866410.
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FAQs on LCM of 207, 442, 315, 754, 170
1. What is the LCM of 207, 442, 315, 754, 170?
Answer: LCM of 207, 442, 315, 754, 170 is 92866410.
2. How to calculate the LCM of 207, 442, 315, 754, 170?
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 207, 442, 315, 754, 170.
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}.