LCM of 289, 428, 513, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 428, 513, 334 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, 428, 513, 334. So, keep reading to learn more.
Given numbers are 289,428,513,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,428,513,334 is 10596817332.
Find LCM of 289,428,513,334 with Prime Factorization
| 2 | 289, 428, 513, 334 |
| 289, 214, 513, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 289 x 214 x 513 x 167 = 10596817332
Therefore, the lowest common multiple of 289,428,513,334 is 10596817332.
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 428 x 513 x 334 = 21193634664
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
428 : 1, 2, 4, 107, 214, 428
513 : 1, 3, 9, 19, 27, 57, 171, 513
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,428,513,334, is 1.
Now, the common factors can be found like this.
289:17x 17
428:2x 2x 107
513:3x 3x 3x 19
334:2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 21193634664/(1x2)
LCM = 21193634664/2
LCM = 10596817332
Thus, we can understand that the LCM of 289,428,513,334 is 10596817332.
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FAQs on LCM of 289, 428, 513, 334
1. What is the LCM of 289, 428, 513, 334?
Answer: LCM of 289, 428, 513, 334 is 10596817332.
2. How to calculate the LCM of 289, 428, 513, 334?
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, 428, 513, 334.
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}.