LCM of 310, 969, 459, 559, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 969, 459, 559, 171 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 310, 969, 459, 559, 171. So, keep reading to learn more.
Given numbers are 310,969,459,559,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,969,459,559,171 is 1511262090.
Find LCM of 310,969,459,559,171 with Prime Factorization
| 3 | 310, 969, 459, 559, 171 |
| 3 | 310, 323, 153, 559, 57 |
| 17 | 310, 323, 51, 559, 19 |
| 19 | 310, 19, 3, 559, 19 |
| 310, 1, 3, 559, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 19 x 310 x 1 x 3 x 559 x 1 = 1511262090
Therefore, the lowest common multiple of 310,969,459,559,171 is 1511262090.
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.
310 x 969 x 459 x 559 x 171 = 13179716686890
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
969 : 1, 3, 17, 19, 51, 57, 323, 969
459 : 1, 3, 9, 17, 27, 51, 153, 459
559 : 1, 13, 43, 559
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,969,459,559,171, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
969:3x 17x 19
459:3x 3x 3x 17
559:13x 43
171:3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 17x 19 = 8721
Therefore, the value for common factors is 8721.
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 = 13179716686890/(1x8721)
LCM = 13179716686890/8721
LCM = 1511262090
Thus, we can understand that the LCM of 310,969,459,559,171 is 1511262090.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 969, 459, 559, 171
1. What is the LCM of 310, 969, 459, 559, 171?
Answer: LCM of 310, 969, 459, 559, 171 is 1511262090.
2. How to calculate the LCM of 310, 969, 459, 559, 171?
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 310, 969, 459, 559, 171.
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}.