LCM of 793, 688, 806, 558, 128
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 688, 806, 558, 128 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 793, 688, 806, 558, 128. So, keep reading to learn more.
Given numbers are 793,688,806,558,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,688,806,558,128 is 1217743488.
Find LCM of 793,688,806,558,128 with Prime Factorization
| 2 | 793, 688, 806, 558, 128 |
| 2 | 793, 344, 403, 279, 64 |
| 2 | 793, 172, 403, 279, 32 |
| 2 | 793, 86, 403, 279, 16 |
| 13 | 793, 43, 403, 279, 8 |
| 31 | 61, 43, 31, 279, 8 |
| 61, 43, 1, 9, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 31 x 61 x 43 x 1 x 9 x 8 = 1217743488
Therefore, the lowest common multiple of 793,688,806,558,128 is 1217743488.
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.
793 x 688 x 806 x 558 x 128 = 31408040042496
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.
793 : 1, 13, 61, 793
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
806 : 1, 2, 13, 26, 31, 62, 403, 806
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,688,806,558,128, is 1.
Now, the common factors can be found like this.
793:13x 61
688:2x 2x 2x 2x 43
806:2x 13x 31
558:2x 3x 3x 31
128:2x 2x 2x 2x 2x 2x 2
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 13x 31 = 25792
Therefore, the value for common factors is 25792.
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 = 31408040042496/(1x25792)
LCM = 31408040042496/25792
LCM = 1217743488
Thus, we can understand that the LCM of 793,688,806,558,128 is 1217743488.
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FAQs on LCM of 793, 688, 806, 558, 128
1. What is the LCM of 793, 688, 806, 558, 128?
Answer: LCM of 793, 688, 806, 558, 128 is 1217743488.
2. How to calculate the LCM of 793, 688, 806, 558, 128?
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 793, 688, 806, 558, 128.
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}.