LCM of 289, 400, 916, 651, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 400, 916, 651, 229 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, 400, 916, 651, 229. So, keep reading to learn more.
Given numbers are 289,400,916,651,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,400,916,651,229 is 17233532400.
Find LCM of 289,400,916,651,229 with Prime Factorization
| 2 | 289, 400, 916, 651, 229 |
| 2 | 289, 200, 458, 651, 229 |
| 229 | 289, 100, 229, 651, 229 |
| 289, 100, 1, 651, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 229 x 289 x 100 x 1 x 651 x 1 = 17233532400
Therefore, the lowest common multiple of 289,400,916,651,229 is 17233532400.
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 400 x 916 x 651 x 229 = 15785915678400
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
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
916 : 1, 2, 4, 229, 458, 916
651 : 1, 3, 7, 21, 31, 93, 217, 651
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,400,916,651,229, is 1.
Now, the common factors can be found like this.
289:17x 17
400:2x 2x 2x 2x 5x 5
916:2x 2x 229
651:3x 7x 31
229:229
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 229 = 916
Therefore, the value for common factors is 916.
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 = 15785915678400/(1x916)
LCM = 15785915678400/916
LCM = 17233532400
Thus, we can understand that the LCM of 289,400,916,651,229 is 17233532400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 289, 400, 916, 651, 229
1. What is the LCM of 289, 400, 916, 651, 229?
Answer: LCM of 289, 400, 916, 651, 229 is 17233532400.
2. How to calculate the LCM of 289, 400, 916, 651, 229?
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, 400, 916, 651, 229.
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}.