Find the LCM of 163, 114, 374, 323, 726 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 163, 114, 374, 323, 726. So, keep reading to learn more.
Given numbers are 163,114,374,323,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 163,114,374,323,726 is 38223174.
Find LCM of 163,114,374,323,726 with Prime Factorization
2 | 163, 114, 374, 323, 726 |
3 | 163, 57, 187, 323, 363 |
11 | 163, 19, 187, 323, 121 |
17 | 163, 19, 17, 323, 11 |
19 | 163, 19, 1, 19, 11 |
163, 1, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 19 x 163 x 1 x 1 x 1 x 11 = 38223174
Therefore, the lowest common multiple of 163,114,374,323,726 is 38223174.
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.
163 x 114 x 374 x 323 x 726 = 1629683246664
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.
163 : 1, 163
114 : 1, 2, 3, 6, 19, 38, 57, 114
374 : 1, 2, 11, 17, 22, 34, 187, 374
323 : 1, 17, 19, 323
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,114,374,323,726, is 1.
Now, the common factors can be found like this.
163:163
114:2x 3x 19
374:2x 11x 17
323:17x 19
726:2x 3x 11x 11
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 3x 11x 17x 19 = 42636
Therefore, the value for common factors is 42636.
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 = 1629683246664/(1x42636)
LCM = 1629683246664/42636
LCM = 38223174
Thus, we can understand that the LCM of 163,114,374,323,726 is 38223174.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 163, 114, 374, 323, 726?
Answer: LCM of 163, 114, 374, 323, 726 is 38223174.
2. How to calculate the LCM of 163, 114, 374, 323, 726?
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 163, 114, 374, 323, 726.
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}.