LCM of 289, 464, 406, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 464, 406, 203 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 289, 464, 406, 203. So, keep reading to learn more.
Given numbers are 289,464,406,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,464,406,203 is 938672.
Find LCM of 289,464,406,203 with Prime Factorization
| 2 | 289, 464, 406, 203 |
| 7 | 289, 232, 203, 203 |
| 29 | 289, 232, 29, 29 |
| 289, 8, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 289 x 8 x 1 x 1 = 938672
Therefore, the lowest common multiple of 289,464,406,203 is 938672.
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.
289 x 464 x 406 x 203 = 11051924128
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.
289 : 1, 17, 289
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
406 : 1, 2, 7, 14, 29, 58, 203, 406
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,464,406,203, is 1.
Now, the common factors can be found like this.
289:17x 17
464:2x 2x 2x 2x 29
406:2x 7x 29
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 29x 29 = 11774
Therefore, the value for common factors is 11774.
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 = 11051924128/(1x11774)
LCM = 11051924128/11774
LCM = 938672
Thus, we can understand that the LCM of 289,464,406,203 is 938672.
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FAQs on LCM of 289, 464, 406, 203
1. What is the LCM of 289, 464, 406, 203?
Answer: LCM of 289, 464, 406, 203 is 938672.
2. How to calculate the LCM of 289, 464, 406, 203?
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 289, 464, 406, 203.
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}.