LCM of 561, 289, 287, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 289, 287, 984 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 561, 289, 287, 984. So, keep reading to learn more.
Given numbers are 561,289,287,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,289,287,984 is 21896952.
Find LCM of 561,289,287,984 with Prime Factorization
| 3 | 561, 289, 287, 984 |
| 17 | 187, 289, 287, 328 |
| 41 | 11, 17, 287, 328 |
| 11, 17, 7, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 41 x 11 x 17 x 7 x 8 = 21896952
Therefore, the lowest common multiple of 561,289,287,984 is 21896952.
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.
561 x 289 x 287 x 984 = 45786526632
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
289 : 1, 17, 289
287 : 1, 7, 41, 287
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,289,287,984, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
289:17x 17
287:7x 41
984:2x 2x 2x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 41 = 2091
Therefore, the value for common factors is 2091.
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 = 45786526632/(1x2091)
LCM = 45786526632/2091
LCM = 21896952
Thus, we can understand that the LCM of 561,289,287,984 is 21896952.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 289, 287, 984
1. What is the LCM of 561, 289, 287, 984?
Answer: LCM of 561, 289, 287, 984 is 21896952.
2. How to calculate the LCM of 561, 289, 287, 984?
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 561, 289, 287, 984.
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}.