LCM of 884, 396, 978, 568, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 396, 978, 568, 495 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, 396, 978, 568, 495. So, keep reading to learn more.
Given numbers are 884,396,978,568,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,396,978,568,495 is 10128226680.
Find LCM of 884,396,978,568,495 with Prime Factorization
| 2 | 884, 396, 978, 568, 495 |
| 2 | 442, 198, 489, 284, 495 |
| 3 | 221, 99, 489, 142, 495 |
| 3 | 221, 33, 163, 142, 165 |
| 11 | 221, 11, 163, 142, 55 |
| 221, 1, 163, 142, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 221 x 1 x 163 x 142 x 5 = 10128226680
Therefore, the lowest common multiple of 884,396,978,568,495 is 10128226680.
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 396 x 978 x 568 x 495 = 96258666366720
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
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
978 : 1, 2, 3, 6, 163, 326, 489, 978
568 : 1, 2, 4, 8, 71, 142, 284, 568
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,396,978,568,495, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
396:2x 2x 3x 3x 11
978:2x 3x 163
568:2x 2x 2x 71
495:3x 3x 5x 11
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 2x 2x 3x 3x 3x 11 = 9504
Therefore, the value for common factors is 9504.
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 = 96258666366720/(1x9504)
LCM = 96258666366720/9504
LCM = 10128226680
Thus, we can understand that the LCM of 884,396,978,568,495 is 10128226680.
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FAQs on LCM of 884, 396, 978, 568, 495
1. What is the LCM of 884, 396, 978, 568, 495?
Answer: LCM of 884, 396, 978, 568, 495 is 10128226680.
2. How to calculate the LCM of 884, 396, 978, 568, 495?
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, 396, 978, 568, 495.
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}.