LCM of 826, 794, 560, 500, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 794, 560, 500, 168 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 826, 794, 560, 500, 168. So, keep reading to learn more.
Given numbers are 826,794,560,500,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,794,560,500,168 is 983766000.
Find LCM of 826,794,560,500,168 with Prime Factorization
| 2 | 826, 794, 560, 500, 168 |
| 2 | 413, 397, 280, 250, 84 |
| 2 | 413, 397, 140, 125, 42 |
| 5 | 413, 397, 70, 125, 21 |
| 7 | 413, 397, 14, 25, 21 |
| 59, 397, 2, 25, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 59 x 397 x 2 x 25 x 3 = 983766000
Therefore, the lowest common multiple of 826,794,560,500,168 is 983766000.
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.
826 x 794 x 560 x 500 x 168 = 30850901760000
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
794 : 1, 2, 397, 794
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,794,560,500,168, is 2.
Now, the common factors can be found like this.
826:2x 7x 59
794:2x 397
560:2x 2x 2x 2x 5x 7
500:2x 2x 5x 5x 5
168:2x 2x 2x 3x 7
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 2x 5x 7x 7 = 15680
Therefore, the value for common factors is 15680.
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 = 30850901760000/(2x15680)
LCM = 30850901760000/31360
LCM = 983766000
Thus, we can understand that the LCM of 826,794,560,500,168 is 983766000.
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FAQs on LCM of 826, 794, 560, 500, 168
1. What is the LCM of 826, 794, 560, 500, 168?
Answer: LCM of 826, 794, 560, 500, 168 is 983766000.
2. How to calculate the LCM of 826, 794, 560, 500, 168?
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 826, 794, 560, 500, 168.
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}.