LCM of 459, 649, 590, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 649, 590, 341 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 459, 649, 590, 341. So, keep reading to learn more.
Given numbers are 459,649,590,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,649,590,341 is 92346210.
Find LCM of 459,649,590,341 with Prime Factorization
| 11 | 459, 649, 590, 341 |
| 59 | 459, 59, 590, 31 |
| 459, 1, 10, 31 |
Multiply the prime numbers at the bottom and the left side.
11 x 59 x 459 x 1 x 10 x 31 = 92346210
Therefore, the lowest common multiple of 459,649,590,341 is 92346210.
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.
459 x 649 x 590 x 341 = 59932690290
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
649 : 1, 11, 59, 649
590 : 1, 2, 5, 10, 59, 118, 295, 590
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,649,590,341, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
649:11x 59
590:2x 5x 59
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 59 = 649
Therefore, the value for common factors is 649.
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 = 59932690290/(1x649)
LCM = 59932690290/649
LCM = 92346210
Thus, we can understand that the LCM of 459,649,590,341 is 92346210.
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FAQs on LCM of 459, 649, 590, 341
1. What is the LCM of 459, 649, 590, 341?
Answer: LCM of 459, 649, 590, 341 is 92346210.
2. How to calculate the LCM of 459, 649, 590, 341?
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 459, 649, 590, 341.
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}.