LCM of 513, 938, 586, 623, 469
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 938, 586, 623, 469 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 513, 938, 586, 623, 469. So, keep reading to learn more.
Given numbers are 513,938,586,623,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,938,586,623,469 is 12548095938.
Find LCM of 513,938,586,623,469 with Prime Factorization
| 2 | 513, 938, 586, 623, 469 |
| 7 | 513, 469, 293, 623, 469 |
| 67 | 513, 67, 293, 89, 67 |
| 513, 1, 293, 89, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 67 x 513 x 1 x 293 x 89 x 1 = 12548095938
Therefore, the lowest common multiple of 513,938,586,623,469 is 12548095938.
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.
513 x 938 x 586 x 623 x 469 = 82390797928908
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
938 : 1, 2, 7, 14, 67, 134, 469, 938
586 : 1, 2, 293, 586
623 : 1, 7, 89, 623
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,938,586,623,469, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
938:2x 7x 67
586:2x 293
623:7x 89
469:7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 67 = 6566
Therefore, the value for common factors is 6566.
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 = 82390797928908/(1x6566)
LCM = 82390797928908/6566
LCM = 12548095938
Thus, we can understand that the LCM of 513,938,586,623,469 is 12548095938.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 938, 586, 623, 469
1. What is the LCM of 513, 938, 586, 623, 469?
Answer: LCM of 513, 938, 586, 623, 469 is 12548095938.
2. How to calculate the LCM of 513, 938, 586, 623, 469?
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 513, 938, 586, 623, 469.
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}.