Find the LCM of 332, 396, 361, 202, 174 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 332, 396, 361, 202, 174. So, keep reading to learn more.
Given numbers are 332,396,361,202,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,396,361,202,174 is 34753604292.
Find LCM of 332,396,361,202,174 with Prime Factorization
2 | 332, 396, 361, 202, 174 |
2 | 166, 198, 361, 101, 87 |
3 | 83, 99, 361, 101, 87 |
83, 33, 361, 101, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 33 x 361 x 101 x 29 = 34753604292
Therefore, the lowest common multiple of 332,396,361,202,174 is 34753604292.
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.
332 x 396 x 361 x 202 x 174 = 1668173006016
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.
332 : 1, 2, 4, 83, 166, 332
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
361 : 1, 19, 361
202 : 1, 2, 101, 202
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,396,361,202,174, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
396:2x 2x 3x 3x 11
361:19x 19
202:2x 101
174:2x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 1668173006016/(1x48)
LCM = 1668173006016/48
LCM = 34753604292
Thus, we can understand that the LCM of 332,396,361,202,174 is 34753604292.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 332, 396, 361, 202, 174?
Answer: LCM of 332, 396, 361, 202, 174 is 34753604292.
2. How to calculate the LCM of 332, 396, 361, 202, 174?
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 332, 396, 361, 202, 174.
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}.