LCM of 499, 339, 429, 113
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 339, 429, 113 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 499, 339, 429, 113. So, keep reading to learn more.
Given numbers are 499,339,429,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,339,429,113 is 24190023.
Find LCM of 499,339,429,113 with Prime Factorization
| 3 | 499, 339, 429, 113 |
| 113 | 499, 113, 143, 113 |
| 499, 1, 143, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 113 x 499 x 1 x 143 x 1 = 24190023
Therefore, the lowest common multiple of 499,339,429,113 is 24190023.
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.
499 x 339 x 429 x 113 = 8200417797
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.
499 : 1, 499
339 : 1, 3, 113, 339
429 : 1, 3, 11, 13, 33, 39, 143, 429
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,339,429,113, is 1.
Now, the common factors can be found like this.
499:499
339:3x 113
429:3x 11x 13
113:113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 113 = 339
Therefore, the value for common factors is 339.
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 = 8200417797/(1x339)
LCM = 8200417797/339
LCM = 24190023
Thus, we can understand that the LCM of 499,339,429,113 is 24190023.
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FAQs on LCM of 499, 339, 429, 113
1. What is the LCM of 499, 339, 429, 113?
Answer: LCM of 499, 339, 429, 113 is 24190023.
2. How to calculate the LCM of 499, 339, 429, 113?
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 499, 339, 429, 113.
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}.