Find the LCM of 400, 299, 361, 713 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 400, 299, 361, 713. So, keep reading to learn more.
Given numbers are 400,299,361,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,299,361,713 is 1338443600.
Find LCM of 400,299,361,713 with Prime Factorization
23 | 400, 299, 361, 713 |
400, 13, 361, 31 |
Multiply the prime numbers at the bottom and the left side.
23 x 400 x 13 x 361 x 31 = 1338443600
Therefore, the lowest common multiple of 400,299,361,713 is 1338443600.
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.
400 x 299 x 361 x 713 = 30784202800
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
299 : 1, 13, 23, 299
361 : 1, 19, 361
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,299,361,713, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
299:13x 23
361:19x 19
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 30784202800/(1x23)
LCM = 30784202800/23
LCM = 1338443600
Thus, we can understand that the LCM of 400,299,361,713 is 1338443600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 400, 299, 361, 713?
Answer: LCM of 400, 299, 361, 713 is 1338443600.
2. How to calculate the LCM of 400, 299, 361, 713?
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 400, 299, 361, 713.
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}.