Find the LCM of 403, 646, 238, 170 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 403, 646, 238, 170. So, keep reading to learn more.
Given numbers are 403,646,238,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,646,238,170 is 9111830.
Find LCM of 403,646,238,170 with Prime Factorization
2 | 403, 646, 238, 170 |
17 | 403, 323, 119, 85 |
403, 19, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 403 x 19 x 7 x 5 = 9111830
Therefore, the lowest common multiple of 403,646,238,170 is 9111830.
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.
403 x 646 x 238 x 170 = 10533275480
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.
403 : 1, 13, 31, 403
646 : 1, 2, 17, 19, 34, 38, 323, 646
238 : 1, 2, 7, 14, 17, 34, 119, 238
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,646,238,170, is 1.
Now, the common factors can be found like this.
403:13x 31
646:2x 17x 19
238:2x 7x 17
170:2x 5x 17
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 17x 17 = 1156
Therefore, the value for common factors is 1156.
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 = 10533275480/(1x1156)
LCM = 10533275480/1156
LCM = 9111830
Thus, we can understand that the LCM of 403,646,238,170 is 9111830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 403, 646, 238, 170?
Answer: LCM of 403, 646, 238, 170 is 9111830.
2. How to calculate the LCM of 403, 646, 238, 170?
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 403, 646, 238, 170.
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}.