LCM of 589, 265, 535, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 265, 535, 901 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 589, 265, 535, 901. So, keep reading to learn more.
Given numbers are 589,265,535,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,265,535,901 is 283918615.
Find LCM of 589,265,535,901 with Prime Factorization
| 5 | 589, 265, 535, 901 |
| 53 | 589, 53, 107, 901 |
| 589, 1, 107, 17 |
Multiply the prime numbers at the bottom and the left side.
5 x 53 x 589 x 1 x 107 x 17 = 283918615
Therefore, the lowest common multiple of 589,265,535,901 is 283918615.
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.
589 x 265 x 535 x 901 = 75238432975
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.
589 : 1, 19, 31, 589
265 : 1, 5, 53, 265
535 : 1, 5, 107, 535
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,265,535,901, is 1.
Now, the common factors can be found like this.
589:19x 31
265:5x 53
535:5x 107
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 53 = 265
Therefore, the value for common factors is 265.
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 = 75238432975/(1x265)
LCM = 75238432975/265
LCM = 283918615
Thus, we can understand that the LCM of 589,265,535,901 is 283918615.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 265, 535, 901
1. What is the LCM of 589, 265, 535, 901?
Answer: LCM of 589, 265, 535, 901 is 283918615.
2. How to calculate the LCM of 589, 265, 535, 901?
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 589, 265, 535, 901.
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}.