Find the LCM of 238, 374, 204, 141, 503 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, 374, 204, 141, 503. So, keep reading to learn more.
Given numbers are 238,374,204,141,503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,374,204,141,503 is 371352828.
Find LCM of 238,374,204,141,503 with Prime Factorization
2 | 238, 374, 204, 141, 503 |
3 | 119, 187, 102, 141, 503 |
17 | 119, 187, 34, 47, 503 |
7, 11, 2, 47, 503 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 7 x 11 x 2 x 47 x 503 = 371352828
Therefore, the lowest common multiple of 238,374,204,141,503 is 371352828.
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 374 x 204 x 141 x 503 = 1287851607504
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
374 : 1, 2, 11, 17, 22, 34, 187, 374
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
141 : 1, 3, 47, 141
503 : 1, 503
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,374,204,141,503, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
374:2x 11x 17
204:2x 2x 3x 17
141:3x 47
503:503
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 17x 17 = 3468
Therefore, the value for common factors is 3468.
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 = 1287851607504/(1x3468)
LCM = 1287851607504/3468
LCM = 371352828
Thus, we can understand that the LCM of 238,374,204,141,503 is 371352828.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 238, 374, 204, 141, 503?
Answer: LCM of 238, 374, 204, 141, 503 is 371352828.
2. How to calculate the LCM of 238, 374, 204, 141, 503?
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, 374, 204, 141, 503.
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}.