LCM of 145, 522, 591, 985, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 145, 522, 591, 985, 712 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 145, 522, 591, 985, 712. So, keep reading to learn more.
Given numbers are 145,522,591,985,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 145,522,591,985,712 is 183044520.
Find LCM of 145,522,591,985,712 with Prime Factorization
| 2 | 145, 522, 591, 985, 712 |
| 3 | 145, 261, 591, 985, 356 |
| 5 | 145, 87, 197, 985, 356 |
| 29 | 29, 87, 197, 197, 356 |
| 197 | 1, 3, 197, 197, 356 |
| 1, 3, 1, 1, 356 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 197 x 1 x 3 x 1 x 1 x 356 = 183044520
Therefore, the lowest common multiple of 145,522,591,985,712 is 183044520.
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.
145 x 522 x 591 x 985 x 712 = 31372000282800
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.
145 : 1, 5, 29, 145
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
591 : 1, 3, 197, 591
985 : 1, 5, 197, 985
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,522,591,985,712, is 1.
Now, the common factors can be found like this.
145:5x 29
522:2x 3x 3x 29
591:3x 197
985:5x 197
712:2x 2x 2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 29x 197 = 171390
Therefore, the value for common factors is 171390.
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 = 31372000282800/(1x171390)
LCM = 31372000282800/171390
LCM = 183044520
Thus, we can understand that the LCM of 145,522,591,985,712 is 183044520.
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FAQs on LCM of 145, 522, 591, 985, 712
1. What is the LCM of 145, 522, 591, 985, 712?
Answer: LCM of 145, 522, 591, 985, 712 is 183044520.
2. How to calculate the LCM of 145, 522, 591, 985, 712?
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 145, 522, 591, 985, 712.
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}.