LCM of 387, 731, 247, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 731, 247, 338 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 387, 731, 247, 338. So, keep reading to learn more.
Given numbers are 387,731,247,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,731,247,338 is 42250338.
Find LCM of 387,731,247,338 with Prime Factorization
| 13 | 387, 731, 247, 338 |
| 43 | 387, 731, 19, 26 |
| 9, 17, 19, 26 |
Multiply the prime numbers at the bottom and the left side.
13 x 43 x 9 x 17 x 19 x 26 = 42250338
Therefore, the lowest common multiple of 387,731,247,338 is 42250338.
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.
387 x 731 x 247 x 338 = 23617938942
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.
387 : 1, 3, 9, 43, 129, 387
731 : 1, 17, 43, 731
247 : 1, 13, 19, 247
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,731,247,338, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
731:17x 43
247:13x 19
338:2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 43 = 559
Therefore, the value for common factors is 559.
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 = 23617938942/(1x559)
LCM = 23617938942/559
LCM = 42250338
Thus, we can understand that the LCM of 387,731,247,338 is 42250338.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 387, 731, 247, 338
1. What is the LCM of 387, 731, 247, 338?
Answer: LCM of 387, 731, 247, 338 is 42250338.
2. How to calculate the LCM of 387, 731, 247, 338?
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 387, 731, 247, 338.
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}.