Find the LCM of 429, 253, 905, 413 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, 253, 905, 413. So, keep reading to learn more.
Given numbers are 429,253,905,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,253,905,413 is 3687939255.
Find LCM of 429,253,905,413 with Prime Factorization
11 | 429, 253, 905, 413 |
39, 23, 905, 413 |
Multiply the prime numbers at the bottom and the left side.
11 x 39 x 23 x 905 x 413 = 3687939255
Therefore, the lowest common multiple of 429,253,905,413 is 3687939255.
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 253 x 905 x 413 = 40567331805
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
253 : 1, 11, 23, 253
905 : 1, 5, 181, 905
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,253,905,413, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
253:11x 23
905:5x 181
413:7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 40567331805/(1x11)
LCM = 40567331805/11
LCM = 3687939255
Thus, we can understand that the LCM of 429,253,905,413 is 3687939255.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 253, 905, 413?
Answer: LCM of 429, 253, 905, 413 is 3687939255.
2. How to calculate the LCM of 429, 253, 905, 413?
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, 253, 905, 413.
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}.