LCM of 126, 729, 592, 341, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 126, 729, 592, 341, 496 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 126, 729, 592, 341, 496. So, keep reading to learn more.
Given numbers are 126,729,592,341,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 126,729,592,341,496 is 1030152816.
Find LCM of 126,729,592,341,496 with Prime Factorization
| 2 | 126, 729, 592, 341, 496 |
| 2 | 63, 729, 296, 341, 248 |
| 2 | 63, 729, 148, 341, 124 |
| 2 | 63, 729, 74, 341, 62 |
| 3 | 63, 729, 37, 341, 31 |
| 3 | 21, 243, 37, 341, 31 |
| 31 | 7, 81, 37, 341, 31 |
| 7, 81, 37, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 31 x 7 x 81 x 37 x 11 x 1 = 1030152816
Therefore, the lowest common multiple of 126,729,592,341,496 is 1030152816.
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.
126 x 729 x 592 x 341 x 496 = 9197204341248
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.
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
729 : 1, 3, 9, 27, 81, 243, 729
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
341 : 1, 11, 31, 341
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,729,592,341,496, is 1.
Now, the common factors can be found like this.
126:2x 3x 3x 7
729:3x 3x 3x 3x 3x 3
592:2x 2x 2x 2x 37
341:11x 31
496:2x 2x 2x 2x 31
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 3x 3x 31 = 8928
Therefore, the value for common factors is 8928.
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 = 9197204341248/(1x8928)
LCM = 9197204341248/8928
LCM = 1030152816
Thus, we can understand that the LCM of 126,729,592,341,496 is 1030152816.
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FAQs on LCM of 126, 729, 592, 341, 496
1. What is the LCM of 126, 729, 592, 341, 496?
Answer: LCM of 126, 729, 592, 341, 496 is 1030152816.
2. How to calculate the LCM of 126, 729, 592, 341, 496?
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 126, 729, 592, 341, 496.
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}.