LCM of 399, 992, 136, 499, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 399, 992, 136, 499, 682 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 399, 992, 136, 499, 682. So, keep reading to learn more.
Given numbers are 399,992,136,499,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,992,136,499,682 is 36934031904.
Find LCM of 399,992,136,499,682 with Prime Factorization
| 2 | 399, 992, 136, 499, 682 |
| 2 | 399, 496, 68, 499, 341 |
| 2 | 399, 248, 34, 499, 341 |
| 31 | 399, 124, 17, 499, 341 |
| 399, 4, 17, 499, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 399 x 4 x 17 x 499 x 11 = 36934031904
Therefore, the lowest common multiple of 399,992,136,499,682 is 36934031904.
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.
399 x 992 x 136 x 499 x 682 = 18319279824384
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
136 : 1, 2, 4, 8, 17, 34, 68, 136
499 : 1, 499
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,992,136,499,682, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
992:2x 2x 2x 2x 2x 31
136:2x 2x 2x 17
499:499
682:2x 11x 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 31 = 496
Therefore, the value for common factors is 496.
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 = 18319279824384/(1x496)
LCM = 18319279824384/496
LCM = 36934031904
Thus, we can understand that the LCM of 399,992,136,499,682 is 36934031904.
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FAQs on LCM of 399, 992, 136, 499, 682
1. What is the LCM of 399, 992, 136, 499, 682?
Answer: LCM of 399, 992, 136, 499, 682 is 36934031904.
2. How to calculate the LCM of 399, 992, 136, 499, 682?
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 399, 992, 136, 499, 682.
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}.