LCM of 558, 792, 148, 682, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 792, 148, 682, 906 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 558, 792, 148, 682, 906. So, keep reading to learn more.
Given numbers are 558,792,148,682,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,792,148,682,906 is 137172024.
Find LCM of 558,792,148,682,906 with Prime Factorization
| 2 | 558, 792, 148, 682, 906 |
| 2 | 279, 396, 74, 341, 453 |
| 3 | 279, 198, 37, 341, 453 |
| 3 | 93, 66, 37, 341, 151 |
| 11 | 31, 22, 37, 341, 151 |
| 31 | 31, 2, 37, 31, 151 |
| 1, 2, 37, 1, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 31 x 1 x 2 x 37 x 1 x 151 = 137172024
Therefore, the lowest common multiple of 558,792,148,682,906 is 137172024.
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.
558 x 792 x 148 x 682 x 906 = 40414170398976
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
148 : 1, 2, 4, 37, 74, 148
682 : 1, 2, 11, 22, 31, 62, 341, 682
906 : 1, 2, 3, 6, 151, 302, 453, 906
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,792,148,682,906, is 2.
Now, the common factors can be found like this.
558:2x 3x 3x 31
792:2x 2x 2x 3x 3x 11
148:2x 2x 37
682:2x 11x 31
906:2x 3x 151
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 3x 3x 3x 11x 31 = 147312
Therefore, the value for common factors is 147312.
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 = 40414170398976/(2x147312)
LCM = 40414170398976/294624
LCM = 137172024
Thus, we can understand that the LCM of 558,792,148,682,906 is 137172024.
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FAQs on LCM of 558, 792, 148, 682, 906
1. What is the LCM of 558, 792, 148, 682, 906?
Answer: LCM of 558, 792, 148, 682, 906 is 137172024.
2. How to calculate the LCM of 558, 792, 148, 682, 906?
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 558, 792, 148, 682, 906.
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}.