LCM of 741, 442, 667, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 442, 667, 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 741, 442, 667, 338. So, keep reading to learn more.
Given numbers are 741,442,667,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,442,667,338 is 218457174.
Find LCM of 741,442,667,338 with Prime Factorization
| 2 | 741, 442, 667, 338 |
| 13 | 741, 221, 667, 169 |
| 57, 17, 667, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 57 x 17 x 667 x 13 = 218457174
Therefore, the lowest common multiple of 741,442,667,338 is 218457174.
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.
741 x 442 x 667 x 338 = 73838524812
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
442 : 1, 2, 13, 17, 26, 34, 221, 442
667 : 1, 23, 29, 667
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 741,442,667,338, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
442:2x 13x 17
667:23x 29
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.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 73838524812/(1x338)
LCM = 73838524812/338
LCM = 218457174
Thus, we can understand that the LCM of 741,442,667,338 is 218457174.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 741, 442, 667, 338
1. What is the LCM of 741, 442, 667, 338?
Answer: LCM of 741, 442, 667, 338 is 218457174.
2. How to calculate the LCM of 741, 442, 667, 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 741, 442, 667, 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}.