Find the LCM of 529, 703, 338, 429 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 529, 703, 338, 429. So, keep reading to learn more.
Given numbers are 529,703,338,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 529,703,338,429 is 4148027598.
Find LCM of 529,703,338,429 with Prime Factorization
13 | 529, 703, 338, 429 |
529, 703, 26, 33 |
Multiply the prime numbers at the bottom and the left side.
13 x 529 x 703 x 26 x 33 = 4148027598
Therefore, the lowest common multiple of 529,703,338,429 is 4148027598.
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.
529 x 703 x 338 x 429 = 53924358774
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.
529 : 1, 23, 529
703 : 1, 19, 37, 703
338 : 1, 2, 13, 26, 169, 338
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,703,338,429, is 1.
Now, the common factors can be found like this.
529:23x 23
703:19x 37
338:2x 13x 13
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 53924358774/(1x13)
LCM = 53924358774/13
LCM = 4148027598
Thus, we can understand that the LCM of 529,703,338,429 is 4148027598.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 529, 703, 338, 429?
Answer: LCM of 529, 703, 338, 429 is 4148027598.
2. How to calculate the LCM of 529, 703, 338, 429?
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 529, 703, 338, 429.
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}.