LCM of 586, 260, 627, 242, 419
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 260, 627, 242, 419 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 586, 260, 627, 242, 419. So, keep reading to learn more.
Given numbers are 586,260,627,242,419
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,260,627,242,419 is 220148239740.
Find LCM of 586,260,627,242,419 with Prime Factorization
| 2 | 586, 260, 627, 242, 419 |
| 11 | 293, 130, 627, 121, 419 |
| 293, 130, 57, 11, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 293 x 130 x 57 x 11 x 419 = 220148239740
Therefore, the lowest common multiple of 586,260,627,242,419 is 220148239740.
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.
586 x 260 x 627 x 242 x 419 = 9686522548560
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.
586 : 1, 2, 293, 586
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
627 : 1, 3, 11, 19, 33, 57, 209, 627
242 : 1, 2, 11, 22, 121, 242
419 : 1, 419
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,260,627,242,419, is 1.
Now, the common factors can be found like this.
586:2x 293
260:2x 2x 5x 13
627:3x 11x 19
242:2x 11x 11
419:419
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 11 = 44
Therefore, the value for common factors is 44.
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 = 9686522548560/(1x44)
LCM = 9686522548560/44
LCM = 220148239740
Thus, we can understand that the LCM of 586,260,627,242,419 is 220148239740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 586, 260, 627, 242, 419
1. What is the LCM of 586, 260, 627, 242, 419?
Answer: LCM of 586, 260, 627, 242, 419 is 220148239740.
2. How to calculate the LCM of 586, 260, 627, 242, 419?
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 586, 260, 627, 242, 419.
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}.