LCM of 772, 454, 102, 386, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 454, 102, 386, 564 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 772, 454, 102, 386, 564. So, keep reading to learn more.
Given numbers are 772,454,102,386,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,454,102,386,564 is 420059868.
Find LCM of 772,454,102,386,564 with Prime Factorization
| 2 | 772, 454, 102, 386, 564 |
| 2 | 386, 227, 51, 193, 282 |
| 3 | 193, 227, 51, 193, 141 |
| 193 | 193, 227, 17, 193, 47 |
| 1, 227, 17, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 193 x 1 x 227 x 17 x 1 x 47 = 420059868
Therefore, the lowest common multiple of 772,454,102,386,564 is 420059868.
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.
772 x 454 x 102 x 386 x 564 = 7782869234304
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.
772 : 1, 2, 4, 193, 386, 772
454 : 1, 2, 227, 454
102 : 1, 2, 3, 6, 17, 34, 51, 102
386 : 1, 2, 193, 386
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,454,102,386,564, is 2.
Now, the common factors can be found like this.
772:2x 2x 193
454:2x 227
102:2x 3x 17
386:2x 193
564:2x 2x 3x 47
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 3x 193 = 9264
Therefore, the value for common factors is 9264.
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 = 7782869234304/(2x9264)
LCM = 7782869234304/18528
LCM = 420059868
Thus, we can understand that the LCM of 772,454,102,386,564 is 420059868.
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FAQs on LCM of 772, 454, 102, 386, 564
1. What is the LCM of 772, 454, 102, 386, 564?
Answer: LCM of 772, 454, 102, 386, 564 is 420059868.
2. How to calculate the LCM of 772, 454, 102, 386, 564?
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 772, 454, 102, 386, 564.
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}.