Find the LCM of 359, 963, 244, 333, 122 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 359, 963, 244, 333, 122. So, keep reading to learn more.
Given numbers are 359,963,244,333,122
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,963,244,333,122 is 3121133076.
Find LCM of 359,963,244,333,122 with Prime Factorization
2 | 359, 963, 244, 333, 122 |
3 | 359, 963, 122, 333, 61 |
3 | 359, 321, 122, 111, 61 |
61 | 359, 107, 122, 37, 61 |
359, 107, 2, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 61 x 359 x 107 x 2 x 37 x 1 = 3121133076
Therefore, the lowest common multiple of 359,963,244,333,122 is 3121133076.
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.
359 x 963 x 244 x 333 x 122 = 3427004117448
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.
359 : 1, 359
963 : 1, 3, 9, 107, 321, 963
244 : 1, 2, 4, 61, 122, 244
333 : 1, 3, 9, 37, 111, 333
122 : 1, 2, 61, 122
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,963,244,333,122, is 1.
Now, the common factors can be found like this.
359:359
963:3x 3x 107
244:2x 2x 61
333:3x 3x 37
122:2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 61 = 1098
Therefore, the value for common factors is 1098.
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 = 3427004117448/(1x1098)
LCM = 3427004117448/1098
LCM = 3121133076
Thus, we can understand that the LCM of 359,963,244,333,122 is 3121133076.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 359, 963, 244, 333, 122?
Answer: LCM of 359, 963, 244, 333, 122 is 3121133076.
2. How to calculate the LCM of 359, 963, 244, 333, 122?
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 359, 963, 244, 333, 122.
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}.