LCM of 952, 341, 786, 561, 197
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 341, 786, 561, 197 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 952, 341, 786, 561, 197. So, keep reading to learn more.
Given numbers are 952,341,786,561,197
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,341,786,561,197 is 25133334072.
Find LCM of 952,341,786,561,197 with Prime Factorization
| 2 | 952, 341, 786, 561, 197 |
| 3 | 476, 341, 393, 561, 197 |
| 11 | 476, 341, 131, 187, 197 |
| 17 | 476, 31, 131, 17, 197 |
| 28, 31, 131, 1, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 28 x 31 x 131 x 1 x 197 = 25133334072
Therefore, the lowest common multiple of 952,341,786,561,197 is 25133334072.
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.
952 x 341 x 786 x 561 x 197 = 28199600828784
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
341 : 1, 11, 31, 341
786 : 1, 2, 3, 6, 131, 262, 393, 786
561 : 1, 3, 11, 17, 33, 51, 187, 561
197 : 1, 197
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,341,786,561,197, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
341:11x 31
786:2x 3x 131
561:3x 11x 17
197:197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 17 = 1122
Therefore, the value for common factors is 1122.
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 = 28199600828784/(1x1122)
LCM = 28199600828784/1122
LCM = 25133334072
Thus, we can understand that the LCM of 952,341,786,561,197 is 25133334072.
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FAQs on LCM of 952, 341, 786, 561, 197
1. What is the LCM of 952, 341, 786, 561, 197?
Answer: LCM of 952, 341, 786, 561, 197 is 25133334072.
2. How to calculate the LCM of 952, 341, 786, 561, 197?
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 952, 341, 786, 561, 197.
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}.