LCM of 779, 380, 208, 423, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 380, 208, 423, 424 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 779, 380, 208, 423, 424. So, keep reading to learn more.
Given numbers are 779,380,208,423,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,380,208,423,424 is 18162977040.
Find LCM of 779,380,208,423,424 with Prime Factorization
| 2 | 779, 380, 208, 423, 424 |
| 2 | 779, 190, 104, 423, 212 |
| 2 | 779, 95, 52, 423, 106 |
| 19 | 779, 95, 26, 423, 53 |
| 41, 5, 26, 423, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 41 x 5 x 26 x 423 x 53 = 18162977040
Therefore, the lowest common multiple of 779,380,208,423,424 is 18162977040.
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.
779 x 380 x 208 x 423 x 424 = 11043090040320
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.
779 : 1, 19, 41, 779
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
423 : 1, 3, 9, 47, 141, 423
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,380,208,423,424, is 1.
Now, the common factors can be found like this.
779:19x 41
380:2x 2x 5x 19
208:2x 2x 2x 2x 13
423:3x 3x 47
424:2x 2x 2x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 19 = 608
Therefore, the value for common factors is 608.
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 = 11043090040320/(1x608)
LCM = 11043090040320/608
LCM = 18162977040
Thus, we can understand that the LCM of 779,380,208,423,424 is 18162977040.
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FAQs on LCM of 779, 380, 208, 423, 424
1. What is the LCM of 779, 380, 208, 423, 424?
Answer: LCM of 779, 380, 208, 423, 424 is 18162977040.
2. How to calculate the LCM of 779, 380, 208, 423, 424?
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 779, 380, 208, 423, 424.
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}.