Find the LCM of 343, 963, 444, 331 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 343, 963, 444, 331. So, keep reading to learn more.
Given numbers are 343,963,444,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,963,444,331 is 16181177292.
Find LCM of 343,963,444,331 with Prime Factorization
3 | 343, 963, 444, 331 |
343, 321, 148, 331 |
Multiply the prime numbers at the bottom and the left side.
3 x 343 x 321 x 148 x 331 = 16181177292
Therefore, the lowest common multiple of 343,963,444,331 is 16181177292.
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.
343 x 963 x 444 x 331 = 48543531876
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.
343 : 1, 7, 49, 343
963 : 1, 3, 9, 107, 321, 963
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,963,444,331, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
963:3x 3x 107
444:2x 2x 3x 37
331:331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 48543531876/(1x3)
LCM = 48543531876/3
LCM = 16181177292
Thus, we can understand that the LCM of 343,963,444,331 is 16181177292.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 963, 444, 331?
Answer: LCM of 343, 963, 444, 331 is 16181177292.
2. How to calculate the LCM of 343, 963, 444, 331?
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 343, 963, 444, 331.
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}.