LCM of 564, 791, 114, 704, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 791, 114, 704, 361 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 564, 791, 114, 704, 361. So, keep reading to learn more.
Given numbers are 564,791,114,704,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,791,114,704,361 is 28344934464.
Find LCM of 564,791,114,704,361 with Prime Factorization
| 2 | 564, 791, 114, 704, 361 |
| 2 | 282, 791, 57, 352, 361 |
| 3 | 141, 791, 57, 176, 361 |
| 19 | 47, 791, 19, 176, 361 |
| 47, 791, 1, 176, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 47 x 791 x 1 x 176 x 19 = 28344934464
Therefore, the lowest common multiple of 564,791,114,704,361 is 28344934464.
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.
564 x 791 x 114 x 704 x 361 = 12925290115584
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
791 : 1, 7, 113, 791
114 : 1, 2, 3, 6, 19, 38, 57, 114
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,791,114,704,361, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
791:7x 113
114:2x 3x 19
704:2x 2x 2x 2x 2x 2x 11
361:19x 19
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 12925290115584/(1x456)
LCM = 12925290115584/456
LCM = 28344934464
Thus, we can understand that the LCM of 564,791,114,704,361 is 28344934464.
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FAQs on LCM of 564, 791, 114, 704, 361
1. What is the LCM of 564, 791, 114, 704, 361?
Answer: LCM of 564, 791, 114, 704, 361 is 28344934464.
2. How to calculate the LCM of 564, 791, 114, 704, 361?
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 564, 791, 114, 704, 361.
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}.