LCM of 884, 561, 340, 147, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 561, 340, 147, 822 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 884, 561, 340, 147, 822. So, keep reading to learn more.
Given numbers are 884,561,340,147,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,561,340,147,822 is 979158180.
Find LCM of 884,561,340,147,822 with Prime Factorization
| 2 | 884, 561, 340, 147, 822 |
| 2 | 442, 561, 170, 147, 411 |
| 3 | 221, 561, 85, 147, 411 |
| 17 | 221, 187, 85, 49, 137 |
| 13, 11, 5, 49, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 13 x 11 x 5 x 49 x 137 = 979158180
Therefore, the lowest common multiple of 884,561,340,147,822 is 979158180.
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.
884 x 561 x 340 x 147 x 822 = 20374323409440
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
561 : 1, 3, 11, 17, 33, 51, 187, 561
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
147 : 1, 3, 7, 21, 49, 147
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,561,340,147,822, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
561:3x 11x 17
340:2x 2x 5x 17
147:3x 7x 7
822:2x 3x 137
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 2x 3x 3x 17x 17 = 20808
Therefore, the value for common factors is 20808.
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 = 20374323409440/(1x20808)
LCM = 20374323409440/20808
LCM = 979158180
Thus, we can understand that the LCM of 884,561,340,147,822 is 979158180.
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FAQs on LCM of 884, 561, 340, 147, 822
1. What is the LCM of 884, 561, 340, 147, 822?
Answer: LCM of 884, 561, 340, 147, 822 is 979158180.
2. How to calculate the LCM of 884, 561, 340, 147, 822?
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 884, 561, 340, 147, 822.
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}.