Find the LCM of 341, 429, 270, 745 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 341, 429, 270, 745. So, keep reading to learn more.
Given numbers are 341,429,270,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,429,270,745 is 178339590.
Find LCM of 341,429,270,745 with Prime Factorization
3 | 341, 429, 270, 745 |
5 | 341, 143, 90, 745 |
11 | 341, 143, 18, 149 |
31, 13, 18, 149 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 31 x 13 x 18 x 149 = 178339590
Therefore, the lowest common multiple of 341,429,270,745 is 178339590.
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.
341 x 429 x 270 x 745 = 29426032350
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.
341 : 1, 11, 31, 341
429 : 1, 3, 11, 13, 33, 39, 143, 429
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,429,270,745, is 1.
Now, the common factors can be found like this.
341:11x 31
429:3x 11x 13
270:2x 3x 3x 3x 5
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 29426032350/(1x165)
LCM = 29426032350/165
LCM = 178339590
Thus, we can understand that the LCM of 341,429,270,745 is 178339590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 341, 429, 270, 745?
Answer: LCM of 341, 429, 270, 745 is 178339590.
2. How to calculate the LCM of 341, 429, 270, 745?
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 341, 429, 270, 745.
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}.