LCM of 741, 341, 363, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 341, 363, 418 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, 341, 363, 418. So, keep reading to learn more.
Given numbers are 741,341,363,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,341,363,418 is 5558982.
Find LCM of 741,341,363,418 with Prime Factorization
| 3 | 741, 341, 363, 418 |
| 11 | 247, 341, 121, 418 |
| 19 | 247, 31, 11, 38 |
| 13, 31, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 19 x 13 x 31 x 11 x 2 = 5558982
Therefore, the lowest common multiple of 741,341,363,418 is 5558982.
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 341 x 363 x 418 = 38340298854
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
341 : 1, 11, 31, 341
363 : 1, 3, 11, 33, 121, 363
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,341,363,418, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
341:11x 31
363:3x 11x 11
418:2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11x 19 = 6897
Therefore, the value for common factors is 6897.
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 = 38340298854/(1x6897)
LCM = 38340298854/6897
LCM = 5558982
Thus, we can understand that the LCM of 741,341,363,418 is 5558982.
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FAQs on LCM of 741, 341, 363, 418
1. What is the LCM of 741, 341, 363, 418?
Answer: LCM of 741, 341, 363, 418 is 5558982.
2. How to calculate the LCM of 741, 341, 363, 418?
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, 341, 363, 418.
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}.