LCM of 590, 289, 535, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 289, 535, 867 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 590, 289, 535, 867. So, keep reading to learn more.
Given numbers are 590,289,535,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,289,535,867 is 54733710.
Find LCM of 590,289,535,867 with Prime Factorization
| 5 | 590, 289, 535, 867 |
| 17 | 118, 289, 107, 867 |
| 17 | 118, 17, 107, 51 |
| 118, 1, 107, 3 |
Multiply the prime numbers at the bottom and the left side.
5 x 17 x 17 x 118 x 1 x 107 x 3 = 54733710
Therefore, the lowest common multiple of 590,289,535,867 is 54733710.
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.
590 x 289 x 535 x 867 = 79090210950
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
289 : 1, 17, 289
535 : 1, 5, 107, 535
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,289,535,867, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
289:17x 17
535:5x 107
867:3x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 17x 17 = 1445
Therefore, the value for common factors is 1445.
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 = 79090210950/(1x1445)
LCM = 79090210950/1445
LCM = 54733710
Thus, we can understand that the LCM of 590,289,535,867 is 54733710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 590, 289, 535, 867
1. What is the LCM of 590, 289, 535, 867?
Answer: LCM of 590, 289, 535, 867 is 54733710.
2. How to calculate the LCM of 590, 289, 535, 867?
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 590, 289, 535, 867.
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}.