Find the LCM of 429, 204, 629, 152, 121 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, 204, 629, 152, 121. So, keep reading to learn more.
Given numbers are 429,204,629,152,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,204,629,152,121 is 451174152.
Find LCM of 429,204,629,152,121 with Prime Factorization
2 | 429, 204, 629, 152, 121 |
2 | 429, 102, 629, 76, 121 |
3 | 429, 51, 629, 38, 121 |
11 | 143, 17, 629, 38, 121 |
17 | 13, 17, 629, 38, 11 |
13, 1, 37, 38, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 13 x 1 x 37 x 38 x 11 = 451174152
Therefore, the lowest common multiple of 429,204,629,152,121 is 451174152.
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 204 x 629 x 152 x 121 = 1012434797088
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
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
629 : 1, 17, 37, 629
152 : 1, 2, 4, 8, 19, 38, 76, 152
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,204,629,152,121, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
204:2x 2x 3x 17
629:17x 37
152:2x 2x 2x 19
121:11x 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 11x 17 = 2244
Therefore, the value for common factors is 2244.
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 = 1012434797088/(1x2244)
LCM = 1012434797088/2244
LCM = 451174152
Thus, we can understand that the LCM of 429,204,629,152,121 is 451174152.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 204, 629, 152, 121?
Answer: LCM of 429, 204, 629, 152, 121 is 451174152.
2. How to calculate the LCM of 429, 204, 629, 152, 121?
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, 204, 629, 152, 121.
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}.