LCM of 829, 188, 894, 940, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 829, 188, 894, 940, 505 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 829, 188, 894, 940, 505. So, keep reading to learn more.
Given numbers are 829,188,894,940,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,188,894,940,505 is 35181251220.
Find LCM of 829,188,894,940,505 with Prime Factorization
| 2 | 829, 188, 894, 940, 505 |
| 2 | 829, 94, 447, 470, 505 |
| 5 | 829, 47, 447, 235, 505 |
| 47 | 829, 47, 447, 47, 101 |
| 829, 1, 447, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 47 x 829 x 1 x 447 x 1 x 101 = 35181251220
Therefore, the lowest common multiple of 829,188,894,940,505 is 35181251220.
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.
829 x 188 x 894 x 940 x 505 = 66140752293600
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.
829 : 1, 829
188 : 1, 2, 4, 47, 94, 188
894 : 1, 2, 3, 6, 149, 298, 447, 894
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,188,894,940,505, is 1.
Now, the common factors can be found like this.
829:829
188:2x 2x 47
894:2x 3x 149
940:2x 2x 5x 47
505:5x 101
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 5x 47 = 1880
Therefore, the value for common factors is 1880.
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 = 66140752293600/(1x1880)
LCM = 66140752293600/1880
LCM = 35181251220
Thus, we can understand that the LCM of 829,188,894,940,505 is 35181251220.
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FAQs on LCM of 829, 188, 894, 940, 505
1. What is the LCM of 829, 188, 894, 940, 505?
Answer: LCM of 829, 188, 894, 940, 505 is 35181251220.
2. How to calculate the LCM of 829, 188, 894, 940, 505?
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 829, 188, 894, 940, 505.
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}.