LCM of 339, 722, 494, 962, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 722, 494, 962, 592 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 339, 722, 494, 962, 592. So, keep reading to learn more.
Given numbers are 339,722,494,962,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,722,494,962,592 is 941828784.
Find LCM of 339,722,494,962,592 with Prime Factorization
| 2 | 339, 722, 494, 962, 592 |
| 13 | 339, 361, 247, 481, 296 |
| 19 | 339, 361, 19, 37, 296 |
| 37 | 339, 1, 19, 37, 296 |
| 339, 1, 19, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 37 x 339 x 1 x 19 x 1 x 8 = 941828784
Therefore, the lowest common multiple of 339,722,494,962,592 is 941828784.
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.
339 x 722 x 494 x 962 x 592 = 68858986055808
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.
339 : 1, 3, 113, 339
722 : 1, 2, 19, 38, 361, 722
494 : 1, 2, 13, 19, 26, 38, 247, 494
962 : 1, 2, 13, 26, 37, 74, 481, 962
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,722,494,962,592, is 1.
Now, the common factors can be found like this.
339:3x 113
722:2x 19x 19
494:2x 13x 19
962:2x 13x 37
592:2x 2x 2x 2x 37
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 13x 19x 37 = 73112
Therefore, the value for common factors is 73112.
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 = 68858986055808/(1x73112)
LCM = 68858986055808/73112
LCM = 941828784
Thus, we can understand that the LCM of 339,722,494,962,592 is 941828784.
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FAQs on LCM of 339, 722, 494, 962, 592
1. What is the LCM of 339, 722, 494, 962, 592?
Answer: LCM of 339, 722, 494, 962, 592 is 941828784.
2. How to calculate the LCM of 339, 722, 494, 962, 592?
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 339, 722, 494, 962, 592.
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}.