LCM of 591, 560, 904, 100, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 560, 904, 100, 678 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 591, 560, 904, 100, 678. So, keep reading to learn more.
Given numbers are 591,560,904,100,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,560,904,100,678 is 186992400.
Find LCM of 591,560,904,100,678 with Prime Factorization
| 2 | 591, 560, 904, 100, 678 |
| 2 | 591, 280, 452, 50, 339 |
| 2 | 591, 140, 226, 25, 339 |
| 3 | 591, 70, 113, 25, 339 |
| 5 | 197, 70, 113, 25, 113 |
| 113 | 197, 14, 113, 5, 113 |
| 197, 14, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 113 x 197 x 14 x 1 x 5 x 1 = 186992400
Therefore, the lowest common multiple of 591,560,904,100,678 is 186992400.
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.
591 x 560 x 904 x 100 x 678 = 20284935552000
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.
591 : 1, 3, 197, 591
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
904 : 1, 2, 4, 8, 113, 226, 452, 904
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,560,904,100,678, is 1.
Now, the common factors can be found like this.
591:3x 197
560:2x 2x 2x 2x 5x 7
904:2x 2x 2x 113
100:2x 2x 5x 5
678:2x 3x 113
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 2x 3x 5x 113 = 108480
Therefore, the value for common factors is 108480.
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 = 20284935552000/(1x108480)
LCM = 20284935552000/108480
LCM = 186992400
Thus, we can understand that the LCM of 591,560,904,100,678 is 186992400.
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FAQs on LCM of 591, 560, 904, 100, 678
1. What is the LCM of 591, 560, 904, 100, 678?
Answer: LCM of 591, 560, 904, 100, 678 is 186992400.
2. How to calculate the LCM of 591, 560, 904, 100, 678?
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 591, 560, 904, 100, 678.
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}.