Find the LCM of 238, 303, 404, 478 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 238, 303, 404, 478. So, keep reading to learn more.
Given numbers are 238,303,404,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,303,404,478 is 34470492.
Find LCM of 238,303,404,478 with Prime Factorization
2 | 238, 303, 404, 478 |
101 | 119, 303, 202, 239 |
119, 3, 2, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 101 x 119 x 3 x 2 x 239 = 34470492
Therefore, the lowest common multiple of 238,303,404,478 is 34470492.
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.
238 x 303 x 404 x 478 = 13926078768
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
303 : 1, 3, 101, 303
404 : 1, 2, 4, 101, 202, 404
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,303,404,478, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
303:3x 101
404:2x 2x 101
478:2x 239
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 101 = 404
Therefore, the value for common factors is 404.
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 = 13926078768/(1x404)
LCM = 13926078768/404
LCM = 34470492
Thus, we can understand that the LCM of 238,303,404,478 is 34470492.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 238, 303, 404, 478?
Answer: LCM of 238, 303, 404, 478 is 34470492.
2. How to calculate the LCM of 238, 303, 404, 478?
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 238, 303, 404, 478.
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}.