LCM of 583, 106, 170, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 106, 170, 306 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 583, 106, 170, 306. So, keep reading to learn more.
Given numbers are 583,106,170,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,106,170,306 is 891990.
Find LCM of 583,106,170,306 with Prime Factorization
| 2 | 583, 106, 170, 306 |
| 17 | 583, 53, 85, 153 |
| 53 | 583, 53, 5, 9 |
| 11, 1, 5, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 53 x 11 x 1 x 5 x 9 = 891990
Therefore, the lowest common multiple of 583,106,170,306 is 891990.
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.
583 x 106 x 170 x 306 = 3214731960
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.
583 : 1, 11, 53, 583
106 : 1, 2, 53, 106
170 : 1, 2, 5, 10, 17, 34, 85, 170
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,106,170,306, is 1.
Now, the common factors can be found like this.
583:11x 53
106:2x 53
170:2x 5x 17
306:2x 3x 3x 17
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 17x 53 = 3604
Therefore, the value for common factors is 3604.
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 = 3214731960/(1x3604)
LCM = 3214731960/3604
LCM = 891990
Thus, we can understand that the LCM of 583,106,170,306 is 891990.
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FAQs on LCM of 583, 106, 170, 306
1. What is the LCM of 583, 106, 170, 306?
Answer: LCM of 583, 106, 170, 306 is 891990.
2. How to calculate the LCM of 583, 106, 170, 306?
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 583, 106, 170, 306.
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}.