LCM of 583, 615, 513, 574, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 615, 513, 574, 324 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 583, 615, 513, 574, 324. So, keep reading to learn more.
Given numbers are 583,615,513,574,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,615,513,574,324 is 5150140380.
Find LCM of 583,615,513,574,324 with Prime Factorization
| 2 | 583, 615, 513, 574, 324 |
| 3 | 583, 615, 513, 287, 162 |
| 3 | 583, 205, 171, 287, 54 |
| 3 | 583, 205, 57, 287, 18 |
| 41 | 583, 205, 19, 287, 6 |
| 583, 5, 19, 7, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 41 x 583 x 5 x 19 x 7 x 6 = 5150140380
Therefore, the lowest common multiple of 583,615,513,574,324 is 5150140380.
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.
583 x 615 x 513 x 574 x 324 = 34207232403960
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.
583 : 1, 11, 53, 583
615 : 1, 3, 5, 15, 41, 123, 205, 615
513 : 1, 3, 9, 19, 27, 57, 171, 513
574 : 1, 2, 7, 14, 41, 82, 287, 574
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,615,513,574,324, is 1.
Now, the common factors can be found like this.
583:11x 53
615:3x 5x 41
513:3x 3x 3x 19
574:2x 7x 41
324:2x 2x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 41 = 6642
Therefore, the value for common factors is 6642.
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 = 34207232403960/(1x6642)
LCM = 34207232403960/6642
LCM = 5150140380
Thus, we can understand that the LCM of 583,615,513,574,324 is 5150140380.
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FAQs on LCM of 583, 615, 513, 574, 324
1. What is the LCM of 583, 615, 513, 574, 324?
Answer: LCM of 583, 615, 513, 574, 324 is 5150140380.
2. How to calculate the LCM of 583, 615, 513, 574, 324?
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 583, 615, 513, 574, 324.
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}.