LCM of 854, 584, 616, 586, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 584, 616, 586, 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 854, 584, 616, 586, 513. So, keep reading to learn more.
Given numbers are 854,584,616,586,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,584,616,586,513 is 412304801832.
Find LCM of 854,584,616,586,513 with Prime Factorization
| 2 | 854, 584, 616, 586, 513 |
| 2 | 427, 292, 308, 293, 513 |
| 2 | 427, 146, 154, 293, 513 |
| 7 | 427, 73, 77, 293, 513 |
| 61, 73, 11, 293, 513 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 61 x 73 x 11 x 293 x 513 = 412304801832
Therefore, the lowest common multiple of 854,584,616,586,513 is 412304801832.
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.
854 x 584 x 616 x 586 x 513 = 92356275610368
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
584 : 1, 2, 4, 8, 73, 146, 292, 584
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
586 : 1, 2, 293, 586
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 854,584,616,586,513, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
584:2x 2x 2x 73
616:2x 2x 2x 7x 11
586:2x 293
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 2x 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 92356275610368/(1x224)
LCM = 92356275610368/224
LCM = 412304801832
Thus, we can understand that the LCM of 854,584,616,586,513 is 412304801832.
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FAQs on LCM of 854, 584, 616, 586, 513
1. What is the LCM of 854, 584, 616, 586, 513?
Answer: LCM of 854, 584, 616, 586, 513 is 412304801832.
2. How to calculate the LCM of 854, 584, 616, 586, 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 854, 584, 616, 586, 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}.