LCM of 723, 329, 392, 954, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 329, 392, 954, 539 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 723, 329, 392, 954, 539. So, keep reading to learn more.
Given numbers are 723,329,392,954,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,329,392,954,539 is 23297645448.
Find LCM of 723,329,392,954,539 with Prime Factorization
| 2 | 723, 329, 392, 954, 539 |
| 3 | 723, 329, 196, 477, 539 |
| 7 | 241, 329, 196, 159, 539 |
| 7 | 241, 47, 28, 159, 77 |
| 241, 47, 4, 159, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 241 x 47 x 4 x 159 x 11 = 23297645448
Therefore, the lowest common multiple of 723,329,392,954,539 is 23297645448.
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.
723 x 329 x 392 x 954 x 539 = 47946554331984
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.
723 : 1, 3, 241, 723
329 : 1, 7, 47, 329
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,329,392,954,539, is 1.
Now, the common factors can be found like this.
723:3x 241
329:7x 47
392:2x 2x 2x 7x 7
954:2x 3x 3x 53
539:7x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 7x 7 = 2058
Therefore, the value for common factors is 2058.
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 = 47946554331984/(1x2058)
LCM = 47946554331984/2058
LCM = 23297645448
Thus, we can understand that the LCM of 723,329,392,954,539 is 23297645448.
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FAQs on LCM of 723, 329, 392, 954, 539
1. What is the LCM of 723, 329, 392, 954, 539?
Answer: LCM of 723, 329, 392, 954, 539 is 23297645448.
2. How to calculate the LCM of 723, 329, 392, 954, 539?
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 723, 329, 392, 954, 539.
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}.