LCM of 392, 993, 726, 798, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 993, 726, 798, 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 392, 993, 726, 798, 539. So, keep reading to learn more.
Given numbers are 392,993,726,798,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,993,726,798,539 is 894899544.
Find LCM of 392,993,726,798,539 with Prime Factorization
| 2 | 392, 993, 726, 798, 539 |
| 3 | 196, 993, 363, 399, 539 |
| 7 | 196, 331, 121, 133, 539 |
| 7 | 28, 331, 121, 19, 77 |
| 11 | 4, 331, 121, 19, 11 |
| 4, 331, 1, 19, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 11 x 4 x 331 x 1 x 19 x 11 = 894899544
Therefore, the lowest common multiple of 392,993,726,798,539 is 894899544.
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.
392 x 993 x 726 x 798 x 539 = 121552415262432
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
993 : 1, 3, 331, 993
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
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 392,993,726,798,539, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
993:3x 331
726:2x 3x 11x 11
798:2x 3x 7x 19
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 2x 3x 3x 7x 7x 7x 11 = 135828
Therefore, the value for common factors is 135828.
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 = 121552415262432/(1x135828)
LCM = 121552415262432/135828
LCM = 894899544
Thus, we can understand that the LCM of 392,993,726,798,539 is 894899544.
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FAQs on LCM of 392, 993, 726, 798, 539
1. What is the LCM of 392, 993, 726, 798, 539?
Answer: LCM of 392, 993, 726, 798, 539 is 894899544.
2. How to calculate the LCM of 392, 993, 726, 798, 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 392, 993, 726, 798, 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}.