LCM of 898, 969, 316, 969, 287
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 969, 316, 969, 287 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 898, 969, 316, 969, 287. So, keep reading to learn more.
Given numbers are 898,969,316,969,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,969,316,969,287 is 39458366052.
Find LCM of 898,969,316,969,287 with Prime Factorization
| 2 | 898, 969, 316, 969, 287 |
| 3 | 449, 969, 158, 969, 287 |
| 17 | 449, 323, 158, 323, 287 |
| 19 | 449, 19, 158, 19, 287 |
| 449, 1, 158, 1, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 449 x 1 x 158 x 1 x 287 = 39458366052
Therefore, the lowest common multiple of 898,969,316,969,287 is 39458366052.
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.
898 x 969 x 316 x 969 x 287 = 76470313408776
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.
898 : 1, 2, 449, 898
969 : 1, 3, 17, 19, 51, 57, 323, 969
316 : 1, 2, 4, 79, 158, 316
969 : 1, 3, 17, 19, 51, 57, 323, 969
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,969,316,969,287, is 1.
Now, the common factors can be found like this.
898:2x 449
969:3x 17x 19
316:2x 2x 79
969:3x 17x 19
287:7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17x 19 = 1938
Therefore, the value for common factors is 1938.
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 = 76470313408776/(1x1938)
LCM = 76470313408776/1938
LCM = 39458366052
Thus, we can understand that the LCM of 898,969,316,969,287 is 39458366052.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 898, 969, 316, 969, 287
1. What is the LCM of 898, 969, 316, 969, 287?
Answer: LCM of 898, 969, 316, 969, 287 is 39458366052.
2. How to calculate the LCM of 898, 969, 316, 969, 287?
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 898, 969, 316, 969, 287.
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}.