Find the LCM of 429, 858, 244, 221, 359 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, 858, 244, 221, 359. So, keep reading to learn more.
Given numbers are 429,858,244,221,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,858,244,221,359 is 638837628.
Find LCM of 429,858,244,221,359 with Prime Factorization
2 | 429, 858, 244, 221, 359 |
3 | 429, 429, 122, 221, 359 |
11 | 143, 143, 122, 221, 359 |
13 | 13, 13, 122, 221, 359 |
1, 1, 122, 17, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 1 x 1 x 122 x 17 x 359 = 638837628
Therefore, the lowest common multiple of 429,858,244,221,359 is 638837628.
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 858 x 244 x 221 x 359 = 7125594902712
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
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
244 : 1, 2, 4, 61, 122, 244
221 : 1, 13, 17, 221
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,858,244,221,359, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
858:2x 3x 11x 13
244:2x 2x 61
221:13x 17
359:359
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 13x 13 = 11154
Therefore, the value for common factors is 11154.
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 = 7125594902712/(1x11154)
LCM = 7125594902712/11154
LCM = 638837628
Thus, we can understand that the LCM of 429,858,244,221,359 is 638837628.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 858, 244, 221, 359?
Answer: LCM of 429, 858, 244, 221, 359 is 638837628.
2. How to calculate the LCM of 429, 858, 244, 221, 359?
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, 858, 244, 221, 359.
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}.