LCM of 584, 704, 616, 686, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 704, 616, 686, 949 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 584, 704, 616, 686, 949. So, keep reading to learn more.
Given numbers are 584,704,616,686,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,704,616,686,949 is 229156928.
Find LCM of 584,704,616,686,949 with Prime Factorization
| 2 | 584, 704, 616, 686, 949 |
| 2 | 292, 352, 308, 343, 949 |
| 2 | 146, 176, 154, 343, 949 |
| 7 | 73, 88, 77, 343, 949 |
| 11 | 73, 88, 11, 49, 949 |
| 73 | 73, 8, 1, 49, 949 |
| 1, 8, 1, 49, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 73 x 1 x 8 x 1 x 49 x 13 = 229156928
Therefore, the lowest common multiple of 584,704,616,686,949 is 229156928.
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.
584 x 704 x 616 x 686 x 949 = 164875659812864
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
686 : 1, 2, 7, 14, 49, 98, 343, 686
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,704,616,686,949, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
704:2x 2x 2x 2x 2x 2x 11
616:2x 2x 2x 7x 11
686:2x 7x 7x 7
949:13x 73
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 2x 2x 7x 11x 73 = 719488
Therefore, the value for common factors is 719488.
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 = 164875659812864/(1x719488)
LCM = 164875659812864/719488
LCM = 229156928
Thus, we can understand that the LCM of 584,704,616,686,949 is 229156928.
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FAQs on LCM of 584, 704, 616, 686, 949
1. What is the LCM of 584, 704, 616, 686, 949?
Answer: LCM of 584, 704, 616, 686, 949 is 229156928.
2. How to calculate the LCM of 584, 704, 616, 686, 949?
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 584, 704, 616, 686, 949.
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}.