LCM of 104, 602, 200, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 602, 200, 238 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 104, 602, 200, 238. So, keep reading to learn more.
Given numbers are 104,602,200,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,602,200,238 is 13304200.
Find LCM of 104,602,200,238 with Prime Factorization
| 2 | 104, 602, 200, 238 |
| 2 | 52, 301, 100, 119 |
| 2 | 26, 301, 50, 119 |
| 7 | 13, 301, 25, 119 |
| 13, 43, 25, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 43 x 25 x 17 = 13304200
Therefore, the lowest common multiple of 104,602,200,238 is 13304200.
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.
104 x 602 x 200 x 238 = 2980140800
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
602 : 1, 2, 7, 14, 43, 86, 301, 602
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
238 : 1, 2, 7, 14, 17, 34, 119, 238
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,602,200,238, is 2.
Now, the common factors can be found like this.
104:2x 2x 2x 13
602:2x 7x 43
200:2x 2x 2x 5x 5
238:2x 7x 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 2x 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 2980140800/(2x112)
LCM = 2980140800/224
LCM = 13304200
Thus, we can understand that the LCM of 104,602,200,238 is 13304200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 104, 602, 200, 238
1. What is the LCM of 104, 602, 200, 238?
Answer: LCM of 104, 602, 200, 238 is 13304200.
2. How to calculate the LCM of 104, 602, 200, 238?
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 104, 602, 200, 238.
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}.