LCM of 586, 460, 565, 293
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 460, 565, 293 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, 460, 565, 293. So, keep reading to learn more.
Given numbers are 586,460,565,293
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,460,565,293 is 15230140.
Find LCM of 586,460,565,293 with Prime Factorization
| 2 | 586, 460, 565, 293 |
| 5 | 293, 230, 565, 293 |
| 293 | 293, 46, 113, 293 |
| 1, 46, 113, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 293 x 1 x 46 x 113 x 1 = 15230140
Therefore, the lowest common multiple of 586,460,565,293 is 15230140.
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 460 x 565 x 293 = 44624310200
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
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
565 : 1, 5, 113, 565
293 : 1, 293
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,460,565,293, is 1.
Now, the common factors can be found like this.
586:2x 293
460:2x 2x 5x 23
565:5x 113
293:293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 293 = 2930
Therefore, the value for common factors is 2930.
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 = 44624310200/(1x2930)
LCM = 44624310200/2930
LCM = 15230140
Thus, we can understand that the LCM of 586,460,565,293 is 15230140.
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FAQs on LCM of 586, 460, 565, 293
1. What is the LCM of 586, 460, 565, 293?
Answer: LCM of 586, 460, 565, 293 is 15230140.
2. How to calculate the LCM of 586, 460, 565, 293?
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, 460, 565, 293.
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}.