LCM of 893, 932, 954, 698, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 932, 954, 698, 513 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 893, 932, 954, 698, 513. So, keep reading to learn more.
Given numbers are 893,932,954,698,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,932,954,698,513 is 415654447644.
Find LCM of 893,932,954,698,513 with Prime Factorization
| 2 | 893, 932, 954, 698, 513 |
| 3 | 893, 466, 477, 349, 513 |
| 3 | 893, 466, 159, 349, 171 |
| 19 | 893, 466, 53, 349, 57 |
| 47, 466, 53, 349, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 47 x 466 x 53 x 349 x 3 = 415654447644
Therefore, the lowest common multiple of 893,932,954,698,513 is 415654447644.
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.
893 x 932 x 954 x 698 x 513 = 284307642188496
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.
893 : 1, 19, 47, 893
932 : 1, 2, 4, 233, 466, 932
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
698 : 1, 2, 349, 698
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,932,954,698,513, is 1.
Now, the common factors can be found like this.
893:19x 47
932:2x 2x 233
954:2x 3x 3x 53
698:2x 349
513:3x 3x 3x 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 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 284307642188496/(1x684)
LCM = 284307642188496/684
LCM = 415654447644
Thus, we can understand that the LCM of 893,932,954,698,513 is 415654447644.
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FAQs on LCM of 893, 932, 954, 698, 513
1. What is the LCM of 893, 932, 954, 698, 513?
Answer: LCM of 893, 932, 954, 698, 513 is 415654447644.
2. How to calculate the LCM of 893, 932, 954, 698, 513?
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 893, 932, 954, 698, 513.
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}.