LCM of 418, 741, 347, 403, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 741, 347, 403, 231 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 418, 741, 347, 403, 231. So, keep reading to learn more.
Given numbers are 418,741,347,403,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,741,347,403,231 is 1227524298.
Find LCM of 418,741,347,403,231 with Prime Factorization
| 3 | 418, 741, 347, 403, 231 |
| 11 | 418, 247, 347, 403, 77 |
| 13 | 38, 247, 347, 403, 7 |
| 19 | 38, 19, 347, 31, 7 |
| 2, 1, 347, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 19 x 2 x 1 x 347 x 31 x 7 = 1227524298
Therefore, the lowest common multiple of 418,741,347,403,231 is 1227524298.
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.
418 x 741 x 347 x 403 x 231 = 10005550552998
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
741 : 1, 3, 13, 19, 39, 57, 247, 741
347 : 1, 347
403 : 1, 13, 31, 403
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,741,347,403,231, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
741:3x 13x 19
347:347
403:13x 31
231:3x 7x 11
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 13x 19 = 8151
Therefore, the value for common factors is 8151.
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 = 10005550552998/(1x8151)
LCM = 10005550552998/8151
LCM = 1227524298
Thus, we can understand that the LCM of 418,741,347,403,231 is 1227524298.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 741, 347, 403, 231
1. What is the LCM of 418, 741, 347, 403, 231?
Answer: LCM of 418, 741, 347, 403, 231 is 1227524298.
2. How to calculate the LCM of 418, 741, 347, 403, 231?
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 418, 741, 347, 403, 231.
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}.