Find the LCM of 429, 417, 342, 502, 198 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 429, 417, 342, 502, 198. So, keep reading to learn more.
Given numbers are 429,417,342,502,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,417,342,502,198 is 1706281434.
Find LCM of 429,417,342,502,198 with Prime Factorization
2 | 429, 417, 342, 502, 198 |
3 | 429, 417, 171, 251, 99 |
3 | 143, 139, 57, 251, 33 |
11 | 143, 139, 19, 251, 11 |
13, 139, 19, 251, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 139 x 19 x 251 x 1 = 1706281434
Therefore, the lowest common multiple of 429,417,342,502,198 is 1706281434.
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.
429 x 417 x 342 x 502 x 198 = 6081187030776
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
417 : 1, 3, 139, 417
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
502 : 1, 2, 251, 502
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,417,342,502,198, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
417:3x 139
342:2x 3x 3x 19
502:2x 251
198:2x 3x 3x 11
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 3x 3x 3x 3x 11 = 3564
Therefore, the value for common factors is 3564.
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 = 6081187030776/(1x3564)
LCM = 6081187030776/3564
LCM = 1706281434
Thus, we can understand that the LCM of 429,417,342,502,198 is 1706281434.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 417, 342, 502, 198?
Answer: LCM of 429, 417, 342, 502, 198 is 1706281434.
2. How to calculate the LCM of 429, 417, 342, 502, 198?
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 429, 417, 342, 502, 198.
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}.