LCM of 459, 460, 722, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 460, 722, 190 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, 460, 722, 190. So, keep reading to learn more.
Given numbers are 459,460,722,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,460,722,190 is 76221540.
Find LCM of 459,460,722,190 with Prime Factorization
| 2 | 459, 460, 722, 190 |
| 5 | 459, 230, 361, 95 |
| 19 | 459, 46, 361, 19 |
| 459, 46, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 459 x 46 x 1 x 19 = 76221540
Therefore, the lowest common multiple of 459,460,722,190 is 76221540.
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 460 x 722 x 190 = 28964185200
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
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
722 : 1, 2, 19, 38, 361, 722
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,460,722,190, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
460:2x 2x 5x 23
722:2x 19x 19
190:2x 5x 19
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 5x 19 = 380
Therefore, the value for common factors is 380.
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 = 28964185200/(1x380)
LCM = 28964185200/380
LCM = 76221540
Thus, we can understand that the LCM of 459,460,722,190 is 76221540.
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FAQs on LCM of 459, 460, 722, 190
1. What is the LCM of 459, 460, 722, 190?
Answer: LCM of 459, 460, 722, 190 is 76221540.
2. How to calculate the LCM of 459, 460, 722, 190?
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, 460, 722, 190.
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}.