LCM of 882, 634, 897, 659, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 634, 897, 659, 966 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 882, 634, 897, 659, 966. So, keep reading to learn more.
Given numbers are 882,634,897,659,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,634,897,659,966 is 55091481354.
Find LCM of 882,634,897,659,966 with Prime Factorization
| 2 | 882, 634, 897, 659, 966 |
| 3 | 441, 317, 897, 659, 483 |
| 7 | 147, 317, 299, 659, 161 |
| 23 | 21, 317, 299, 659, 23 |
| 21, 317, 13, 659, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 21 x 317 x 13 x 659 x 1 = 55091481354
Therefore, the lowest common multiple of 882,634,897,659,966 is 55091481354.
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.
882 x 634 x 897 x 659 x 966 = 319310225927784
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
634 : 1, 2, 317, 634
897 : 1, 3, 13, 23, 39, 69, 299, 897
659 : 1, 659
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,634,897,659,966, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
634:2x 317
897:3x 13x 23
659:659
966:2x 3x 7x 23
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 3x 3x 7x 23 = 5796
Therefore, the value for common factors is 5796.
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 = 319310225927784/(1x5796)
LCM = 319310225927784/5796
LCM = 55091481354
Thus, we can understand that the LCM of 882,634,897,659,966 is 55091481354.
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FAQs on LCM of 882, 634, 897, 659, 966
1. What is the LCM of 882, 634, 897, 659, 966?
Answer: LCM of 882, 634, 897, 659, 966 is 55091481354.
2. How to calculate the LCM of 882, 634, 897, 659, 966?
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 882, 634, 897, 659, 966.
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}.