LCM of 182, 860, 961, 504, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 182, 860, 961, 504, 910 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 182, 860, 961, 504, 910. So, keep reading to learn more.
Given numbers are 182,860,961,504,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,860,961,504,910 is 1353741480.
Find LCM of 182,860,961,504,910 with Prime Factorization
| 2 | 182, 860, 961, 504, 910 |
| 2 | 91, 430, 961, 252, 455 |
| 5 | 91, 215, 961, 126, 455 |
| 7 | 91, 43, 961, 126, 91 |
| 13 | 13, 43, 961, 18, 13 |
| 1, 43, 961, 18, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 1 x 43 x 961 x 18 x 1 = 1353741480
Therefore, the lowest common multiple of 182,860,961,504,910 is 1353741480.
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.
182 x 860 x 961 x 504 x 910 = 68986665820800
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
961 : 1, 31, 961
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
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,860,961,504,910, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
860:2x 2x 5x 43
961:31x 31
504:2x 2x 2x 3x 3x 7
910:2x 5x 7x 13
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 2x 5x 7x 7x 13 = 50960
Therefore, the value for common factors is 50960.
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 = 68986665820800/(1x50960)
LCM = 68986665820800/50960
LCM = 1353741480
Thus, we can understand that the LCM of 182,860,961,504,910 is 1353741480.
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FAQs on LCM of 182, 860, 961, 504, 910
1. What is the LCM of 182, 860, 961, 504, 910?
Answer: LCM of 182, 860, 961, 504, 910 is 1353741480.
2. How to calculate the LCM of 182, 860, 961, 504, 910?
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 182, 860, 961, 504, 910.
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}.