LCM of 447, 779, 418, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 779, 418, 348 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 447, 779, 418, 348. So, keep reading to learn more.
Given numbers are 447,779,418,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,779,418,348 is 444319788.
Find LCM of 447,779,418,348 with Prime Factorization
| 2 | 447, 779, 418, 348 |
| 3 | 447, 779, 209, 174 |
| 19 | 149, 779, 209, 58 |
| 149, 41, 11, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 149 x 41 x 11 x 58 = 444319788
Therefore, the lowest common multiple of 447,779,418,348 is 444319788.
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.
447 x 779 x 418 x 348 = 50652455832
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.
447 : 1, 3, 149, 447
779 : 1, 19, 41, 779
418 : 1, 2, 11, 19, 22, 38, 209, 418
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,779,418,348, is 1.
Now, the common factors can be found like this.
447:3x 149
779:19x 41
418:2x 11x 19
348:2x 2x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 19 = 114
Therefore, the value for common factors is 114.
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 = 50652455832/(1x114)
LCM = 50652455832/114
LCM = 444319788
Thus, we can understand that the LCM of 447,779,418,348 is 444319788.
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FAQs on LCM of 447, 779, 418, 348
1. What is the LCM of 447, 779, 418, 348?
Answer: LCM of 447, 779, 418, 348 is 444319788.
2. How to calculate the LCM of 447, 779, 418, 348?
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 447, 779, 418, 348.
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}.