LCM of 979, 664, 392, 962, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 664, 392, 962, 338 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 979, 664, 392, 962, 338. So, keep reading to learn more.
Given numbers are 979,664,392,962,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,664,392,962,338 is 199175208232.
Find LCM of 979,664,392,962,338 with Prime Factorization
| 2 | 979, 664, 392, 962, 338 |
| 2 | 979, 332, 196, 481, 169 |
| 2 | 979, 166, 98, 481, 169 |
| 13 | 979, 83, 49, 481, 169 |
| 979, 83, 49, 37, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 979 x 83 x 49 x 37 x 13 = 199175208232
Therefore, the lowest common multiple of 979,664,392,962,338 is 199175208232.
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.
979 x 664 x 392 x 962 x 338 = 82856886624512
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.
979 : 1, 11, 89, 979
664 : 1, 2, 4, 8, 83, 166, 332, 664
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
962 : 1, 2, 13, 26, 37, 74, 481, 962
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,664,392,962,338, is 1.
Now, the common factors can be found like this.
979:11x 89
664:2x 2x 2x 83
392:2x 2x 2x 7x 7
962:2x 13x 37
338:2x 13x 13
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 13 = 416
Therefore, the value for common factors is 416.
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 = 82856886624512/(1x416)
LCM = 82856886624512/416
LCM = 199175208232
Thus, we can understand that the LCM of 979,664,392,962,338 is 199175208232.
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FAQs on LCM of 979, 664, 392, 962, 338
1. What is the LCM of 979, 664, 392, 962, 338?
Answer: LCM of 979, 664, 392, 962, 338 is 199175208232.
2. How to calculate the LCM of 979, 664, 392, 962, 338?
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 979, 664, 392, 962, 338.
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}.