LCM of 955, 504, 378, 361, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 955, 504, 378, 361, 442 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 955, 504, 378, 361, 442. So, keep reading to learn more.
Given numbers are 955,504,378,361,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,504,378,361,442 is 115200572760.
Find LCM of 955,504,378,361,442 with Prime Factorization
| 2 | 955, 504, 378, 361, 442 |
| 3 | 955, 252, 189, 361, 221 |
| 3 | 955, 84, 63, 361, 221 |
| 7 | 955, 28, 21, 361, 221 |
| 955, 4, 3, 361, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 955 x 4 x 3 x 361 x 221 = 115200572760
Therefore, the lowest common multiple of 955,504,378,361,442 is 115200572760.
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.
955 x 504 x 378 x 361 x 442 = 29030544335520
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.
955 : 1, 5, 191, 955
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
361 : 1, 19, 361
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,504,378,361,442, is 1.
Now, the common factors can be found like this.
955:5x 191
504:2x 2x 2x 3x 3x 7
378:2x 3x 3x 3x 7
361:19x 19
442:2x 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 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 29030544335520/(1x252)
LCM = 29030544335520/252
LCM = 115200572760
Thus, we can understand that the LCM of 955,504,378,361,442 is 115200572760.
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FAQs on LCM of 955, 504, 378, 361, 442
1. What is the LCM of 955, 504, 378, 361, 442?
Answer: LCM of 955, 504, 378, 361, 442 is 115200572760.
2. How to calculate the LCM of 955, 504, 378, 361, 442?
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 955, 504, 378, 361, 442.
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}.