LCM of 897, 905, 570, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 905, 570, 506 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 897, 905, 570, 506. So, keep reading to learn more.
Given numbers are 897,905,570,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,905,570,506 is 339326130.
Find LCM of 897,905,570,506 with Prime Factorization
| 2 | 897, 905, 570, 506 |
| 3 | 897, 905, 285, 253 |
| 5 | 299, 905, 95, 253 |
| 23 | 299, 181, 19, 253 |
| 13, 181, 19, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 13 x 181 x 19 x 11 = 339326130
Therefore, the lowest common multiple of 897,905,570,506 is 339326130.
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.
897 x 905 x 570 x 506 = 234135029700
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
905 : 1, 5, 181, 905
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,905,570,506, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
905:5x 181
570:2x 3x 5x 19
506:2x 11x 23
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 23 = 690
Therefore, the value for common factors is 690.
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 = 234135029700/(1x690)
LCM = 234135029700/690
LCM = 339326130
Thus, we can understand that the LCM of 897,905,570,506 is 339326130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 897, 905, 570, 506
1. What is the LCM of 897, 905, 570, 506?
Answer: LCM of 897, 905, 570, 506 is 339326130.
2. How to calculate the LCM of 897, 905, 570, 506?
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 897, 905, 570, 506.
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}.