Find the LCM of 936, 746, 403, 612, 561 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, 746, 403, 612, 561. So, keep reading to learn more.
Given numbers are 936,746,403,612,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,746,403,612,561 is 2023895016.
Find LCM of 936,746,403,612,561 with Prime Factorization
2 | 936, 746, 403, 612, 561 |
2 | 468, 373, 403, 306, 561 |
3 | 234, 373, 403, 153, 561 |
3 | 78, 373, 403, 51, 187 |
13 | 26, 373, 403, 17, 187 |
17 | 2, 373, 31, 17, 187 |
2, 373, 31, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 17 x 2 x 373 x 31 x 1 x 11 = 2023895016
Therefore, the lowest common multiple of 936,746,403,612,561 is 2023895016.
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 746 x 403 x 612 x 561 = 96612652483776
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
746 : 1, 2, 373, 746
403 : 1, 13, 31, 403
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,746,403,612,561, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
746:2x 373
403:13x 31
612:2x 2x 3x 3x 17
561:3x 11x 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 2x 3x 3x 3x 13x 17 = 47736
Therefore, the value for common factors is 47736.
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 = 96612652483776/(1x47736)
LCM = 96612652483776/47736
LCM = 2023895016
Thus, we can understand that the LCM of 936,746,403,612,561 is 2023895016.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 936, 746, 403, 612, 561?
Answer: LCM of 936, 746, 403, 612, 561 is 2023895016.
2. How to calculate the LCM of 936, 746, 403, 612, 561?
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, 746, 403, 612, 561.
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}.