Find the LCM of 361, 627, 646, 374, 437 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 361, 627, 646, 374, 437. So, keep reading to learn more.
Given numbers are 361,627,646,374,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,627,646,374,437 is 9315966.
Find LCM of 361,627,646,374,437 with Prime Factorization
2 | 361, 627, 646, 374, 437 |
11 | 361, 627, 323, 187, 437 |
17 | 361, 57, 323, 17, 437 |
19 | 361, 57, 19, 1, 437 |
1, 3, 19, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 19 x 1 x 3 x 19 x 1 x 23 = 9315966
Therefore, the lowest common multiple of 361,627,646,374,437 is 9315966.
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.
361 x 627 x 646 x 374 x 437 = 23897930836956
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.
361 : 1, 19, 361
627 : 1, 3, 11, 19, 33, 57, 209, 627
646 : 1, 2, 17, 19, 34, 38, 323, 646
374 : 1, 2, 11, 17, 22, 34, 187, 374
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,627,646,374,437, is 1.
Now, the common factors can be found like this.
361:19x 19
627:3x 11x 19
646:2x 17x 19
374:2x 11x 17
437:19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17x 19x 19x 19 = 2565266
Therefore, the value for common factors is 2565266.
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 = 23897930836956/(1x2565266)
LCM = 23897930836956/2565266
LCM = 9315966
Thus, we can understand that the LCM of 361,627,646,374,437 is 9315966.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 361, 627, 646, 374, 437?
Answer: LCM of 361, 627, 646, 374, 437 is 9315966.
2. How to calculate the LCM of 361, 627, 646, 374, 437?
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 361, 627, 646, 374, 437.
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}.