LCM of 884, 130, 965, 462, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 130, 965, 462, 990 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, 130, 965, 462, 990. So, keep reading to learn more.
Given numbers are 884,130,965,462,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,130,965,462,990 is 591170580.
Find LCM of 884,130,965,462,990 with Prime Factorization
| 2 | 884, 130, 965, 462, 990 |
| 3 | 442, 65, 965, 231, 495 |
| 5 | 442, 65, 965, 77, 165 |
| 11 | 442, 13, 193, 77, 33 |
| 13 | 442, 13, 193, 7, 3 |
| 34, 1, 193, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 34 x 1 x 193 x 7 x 3 = 591170580
Therefore, the lowest common multiple of 884,130,965,462,990 is 591170580.
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 130 x 965 x 462 x 990 = 50722435764000
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
130 : 1, 2, 5, 10, 13, 26, 65, 130
965 : 1, 5, 193, 965
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,130,965,462,990, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
130:2x 5x 13
965:5x 193
462:2x 3x 7x 11
990:2x 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 3x 5x 5x 11x 13 = 85800
Therefore, the value for common factors is 85800.
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 = 50722435764000/(1x85800)
LCM = 50722435764000/85800
LCM = 591170580
Thus, we can understand that the LCM of 884,130,965,462,990 is 591170580.
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FAQs on LCM of 884, 130, 965, 462, 990
1. What is the LCM of 884, 130, 965, 462, 990?
Answer: LCM of 884, 130, 965, 462, 990 is 591170580.
2. How to calculate the LCM of 884, 130, 965, 462, 990?
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, 130, 965, 462, 990.
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}.