LCM of 565, 137, 969, 930, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 137, 969, 930, 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 565, 137, 969, 930, 170. So, keep reading to learn more.
Given numbers are 565,137,969,930,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,137,969,930,170 is 4650337590.
Find LCM of 565,137,969,930,170 with Prime Factorization
| 2 | 565, 137, 969, 930, 170 |
| 3 | 565, 137, 969, 465, 85 |
| 5 | 565, 137, 323, 155, 85 |
| 17 | 113, 137, 323, 31, 17 |
| 113, 137, 19, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 113 x 137 x 19 x 31 x 1 = 4650337590
Therefore, the lowest common multiple of 565,137,969,930,170 is 4650337590.
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.
565 x 137 x 969 x 930 x 170 = 11858360854500
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.
565 : 1, 5, 113, 565
137 : 1, 137
969 : 1, 3, 17, 19, 51, 57, 323, 969
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
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 565,137,969,930,170, is 1.
Now, the common factors can be found like this.
565:5x 113
137:137
969:3x 17x 19
930:2x 3x 5x 31
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 3x 5x 5x 17 = 2550
Therefore, the value for common factors is 2550.
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 = 11858360854500/(1x2550)
LCM = 11858360854500/2550
LCM = 4650337590
Thus, we can understand that the LCM of 565,137,969,930,170 is 4650337590.
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FAQs on LCM of 565, 137, 969, 930, 170
1. What is the LCM of 565, 137, 969, 930, 170?
Answer: LCM of 565, 137, 969, 930, 170 is 4650337590.
2. How to calculate the LCM of 565, 137, 969, 930, 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 565, 137, 969, 930, 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}.