LCM of 605, 140, 790, 577, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 140, 790, 577, 285 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 605, 140, 790, 577, 285. So, keep reading to learn more.
Given numbers are 605,140,790,577,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,140,790,577,285 is 44014033140.
Find LCM of 605,140,790,577,285 with Prime Factorization
| 2 | 605, 140, 790, 577, 285 |
| 5 | 605, 70, 395, 577, 285 |
| 121, 14, 79, 577, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 121 x 14 x 79 x 577 x 57 = 44014033140
Therefore, the lowest common multiple of 605,140,790,577,285 is 44014033140.
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.
605 x 140 x 790 x 577 x 285 = 11003508285000
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.
605 : 1, 5, 11, 55, 121, 605
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
790 : 1, 2, 5, 10, 79, 158, 395, 790
577 : 1, 577
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,140,790,577,285, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
140:2x 2x 5x 7
790:2x 5x 79
577:577
285:3x 5x 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 5x 5x 5 = 250
Therefore, the value for common factors is 250.
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 = 11003508285000/(1x250)
LCM = 11003508285000/250
LCM = 44014033140
Thus, we can understand that the LCM of 605,140,790,577,285 is 44014033140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 605, 140, 790, 577, 285
1. What is the LCM of 605, 140, 790, 577, 285?
Answer: LCM of 605, 140, 790, 577, 285 is 44014033140.
2. How to calculate the LCM of 605, 140, 790, 577, 285?
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 605, 140, 790, 577, 285.
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}.