LCM of 913, 340, 209, 420, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 340, 209, 420, 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 913, 340, 209, 420, 170. So, keep reading to learn more.
Given numbers are 913,340,209,420,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,340,209,420,170 is 123857580.
Find LCM of 913,340,209,420,170 with Prime Factorization
| 2 | 913, 340, 209, 420, 170 |
| 2 | 913, 170, 209, 210, 85 |
| 5 | 913, 85, 209, 105, 85 |
| 11 | 913, 17, 209, 21, 17 |
| 17 | 83, 17, 19, 21, 17 |
| 83, 1, 19, 21, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 17 x 83 x 1 x 19 x 21 x 1 = 123857580
Therefore, the lowest common multiple of 913,340,209,420,170 is 123857580.
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.
913 x 340 x 209 x 420 x 170 = 4632273492000
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.
913 : 1, 11, 83, 913
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
209 : 1, 11, 19, 209
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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 913,340,209,420,170, is 1.
Now, the common factors can be found like this.
913:11x 83
340:2x 2x 5x 17
209:11x 19
420:2x 2x 3x 5x 7
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 2x 5x 5x 11x 17 = 37400
Therefore, the value for common factors is 37400.
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 = 4632273492000/(1x37400)
LCM = 4632273492000/37400
LCM = 123857580
Thus, we can understand that the LCM of 913,340,209,420,170 is 123857580.
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FAQs on LCM of 913, 340, 209, 420, 170
1. What is the LCM of 913, 340, 209, 420, 170?
Answer: LCM of 913, 340, 209, 420, 170 is 123857580.
2. How to calculate the LCM of 913, 340, 209, 420, 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 913, 340, 209, 420, 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}.