Find the LCM of 224, 331, 993, 829 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 224, 331, 993, 829. So, keep reading to learn more.
Given numbers are 224,331,993,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,331,993,829 is 184396128.
Find LCM of 224,331,993,829 with Prime Factorization
331 | 224, 331, 993, 829 |
224, 1, 3, 829 |
Multiply the prime numbers at the bottom and the left side.
331 x 224 x 1 x 3 x 829 = 184396128
Therefore, the lowest common multiple of 224,331,993,829 is 184396128.
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.
224 x 331 x 993 x 829 = 61035118368
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
331 : 1, 331
993 : 1, 3, 331, 993
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,331,993,829, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
331:331
993:3x 331
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
331 = 331
Therefore, the value for common factors is 331.
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 = 61035118368/(1x331)
LCM = 61035118368/331
LCM = 184396128
Thus, we can understand that the LCM of 224,331,993,829 is 184396128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 224, 331, 993, 829?
Answer: LCM of 224, 331, 993, 829 is 184396128.
2. How to calculate the LCM of 224, 331, 993, 829?
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 224, 331, 993, 829.
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}.