LCM of 232, 561, 125, 975, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 561, 125, 975, 884 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 232, 561, 125, 975, 884. So, keep reading to learn more.
Given numbers are 232,561,125,975,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,561,125,975,884 is 211497000.
Find LCM of 232,561,125,975,884 with Prime Factorization
| 2 | 232, 561, 125, 975, 884 |
| 2 | 116, 561, 125, 975, 442 |
| 3 | 58, 561, 125, 975, 221 |
| 5 | 58, 187, 125, 325, 221 |
| 5 | 58, 187, 25, 65, 221 |
| 13 | 58, 187, 5, 13, 221 |
| 17 | 58, 187, 5, 1, 17 |
| 58, 11, 5, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 13 x 17 x 58 x 11 x 5 x 1 x 1 = 211497000
Therefore, the lowest common multiple of 232,561,125,975,884 is 211497000.
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.
232 x 561 x 125 x 975 x 884 = 14022251100000
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
561 : 1, 3, 11, 17, 33, 51, 187, 561
125 : 1, 5, 25, 125
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,561,125,975,884, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
561:3x 11x 17
125:5x 5x 5
975:3x 5x 5x 13
884:2x 2x 13x 17
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 5x 5x 13x 17 = 66300
Therefore, the value for common factors is 66300.
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 = 14022251100000/(1x66300)
LCM = 14022251100000/66300
LCM = 211497000
Thus, we can understand that the LCM of 232,561,125,975,884 is 211497000.
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FAQs on LCM of 232, 561, 125, 975, 884
1. What is the LCM of 232, 561, 125, 975, 884?
Answer: LCM of 232, 561, 125, 975, 884 is 211497000.
2. How to calculate the LCM of 232, 561, 125, 975, 884?
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 232, 561, 125, 975, 884.
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}.