LCM of 127, 418, 350, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 127, 418, 350, 779 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 127, 418, 350, 779. So, keep reading to learn more.
Given numbers are 127,418,350,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,418,350,779 is 380892050.
Find LCM of 127,418,350,779 with Prime Factorization
| 2 | 127, 418, 350, 779 |
| 19 | 127, 209, 175, 779 |
| 127, 11, 175, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 127 x 11 x 175 x 41 = 380892050
Therefore, the lowest common multiple of 127,418,350,779 is 380892050.
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.
127 x 418 x 350 x 779 = 14473897900
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.
127 : 1, 127
418 : 1, 2, 11, 19, 22, 38, 209, 418
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,418,350,779, is 1.
Now, the common factors can be found like this.
127:127
418:2x 11x 19
350:2x 5x 5x 7
779:19x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 14473897900/(1x38)
LCM = 14473897900/38
LCM = 380892050
Thus, we can understand that the LCM of 127,418,350,779 is 380892050.
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FAQs on LCM of 127, 418, 350, 779
1. What is the LCM of 127, 418, 350, 779?
Answer: LCM of 127, 418, 350, 779 is 380892050.
2. How to calculate the LCM of 127, 418, 350, 779?
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 127, 418, 350, 779.
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}.