LCM of 936, 248, 229, 504, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 248, 229, 504, 986 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 936, 248, 229, 504, 986. So, keep reading to learn more.
Given numbers are 936,248,229,504,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,248,229,504,986 is 22930735464.
Find LCM of 936,248,229,504,986 with Prime Factorization
| 2 | 936, 248, 229, 504, 986 |
| 2 | 468, 124, 229, 252, 493 |
| 2 | 234, 62, 229, 126, 493 |
| 3 | 117, 31, 229, 63, 493 |
| 3 | 39, 31, 229, 21, 493 |
| 13, 31, 229, 7, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 31 x 229 x 7 x 493 = 22930735464
Therefore, the lowest common multiple of 936,248,229,504,986 is 22930735464.
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.
936 x 248 x 229 x 504 x 986 = 26416207254528
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
248 : 1, 2, 4, 8, 31, 62, 124, 248
229 : 1, 229
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
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,248,229,504,986, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
248:2x 2x 2x 31
229:229
504:2x 2x 2x 3x 3x 7
986:2x 17x 29
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 2x 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 26416207254528/(1x1152)
LCM = 26416207254528/1152
LCM = 22930735464
Thus, we can understand that the LCM of 936,248,229,504,986 is 22930735464.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 936, 248, 229, 504, 986
1. What is the LCM of 936, 248, 229, 504, 986?
Answer: LCM of 936, 248, 229, 504, 986 is 22930735464.
2. How to calculate the LCM of 936, 248, 229, 504, 986?
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 936, 248, 229, 504, 986.
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}.