LCM of 150, 338, 314, 208, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 150, 338, 314, 208, 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 150, 338, 314, 208, 238. So, keep reading to learn more.
Given numbers are 150,338,314,208,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 150,338,314,208,238 is 3788912400.
Find LCM of 150,338,314,208,238 with Prime Factorization
| 2 | 150, 338, 314, 208, 238 |
| 13 | 75, 169, 157, 104, 119 |
| 75, 13, 157, 8, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 75 x 13 x 157 x 8 x 119 = 3788912400
Therefore, the lowest common multiple of 150,338,314,208,238 is 3788912400.
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.
150 x 338 x 314 x 208 x 238 = 788093779200
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.
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
338 : 1, 2, 13, 26, 169, 338
314 : 1, 2, 157, 314
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
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 150,338,314,208,238, is 2.
Now, the common factors can be found like this.
150:2x 3x 5x 5
338:2x 13x 13
314:2x 157
208:2x 2x 2x 2x 13
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 13 = 104
Therefore, the value for common factors is 104.
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 = 788093779200/(2x104)
LCM = 788093779200/208
LCM = 3788912400
Thus, we can understand that the LCM of 150,338,314,208,238 is 3788912400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 150, 338, 314, 208, 238
1. What is the LCM of 150, 338, 314, 208, 238?
Answer: LCM of 150, 338, 314, 208, 238 is 3788912400.
2. How to calculate the LCM of 150, 338, 314, 208, 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 150, 338, 314, 208, 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}.