Find the LCM of 319, 296, 334, 996, 166 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 319, 296, 334, 996, 166. So, keep reading to learn more.
Given numbers are 319,296,334,996,166
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,296,334,996,166 is 3926433192.
Find LCM of 319,296,334,996,166 with Prime Factorization
2 | 319, 296, 334, 996, 166 |
2 | 319, 148, 167, 498, 83 |
83 | 319, 74, 167, 249, 83 |
319, 74, 167, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 83 x 319 x 74 x 167 x 3 x 1 = 3926433192
Therefore, the lowest common multiple of 319,296,334,996,166 is 3926433192.
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.
319 x 296 x 334 x 996 x 166 = 5214303278976
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.
319 : 1, 11, 29, 319
296 : 1, 2, 4, 8, 37, 74, 148, 296
334 : 1, 2, 167, 334
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
166 : 1, 2, 83, 166
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,296,334,996,166, is 1.
Now, the common factors can be found like this.
319:11x 29
296:2x 2x 2x 37
334:2x 167
996:2x 2x 3x 83
166:2x 83
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 83 = 1328
Therefore, the value for common factors is 1328.
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 = 5214303278976/(1x1328)
LCM = 5214303278976/1328
LCM = 3926433192
Thus, we can understand that the LCM of 319,296,334,996,166 is 3926433192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 296, 334, 996, 166?
Answer: LCM of 319, 296, 334, 996, 166 is 3926433192.
2. How to calculate the LCM of 319, 296, 334, 996, 166?
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 319, 296, 334, 996, 166.
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}.