LCM of 933, 618, 728, 780, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 618, 728, 780, 845 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 933, 618, 728, 780, 845. So, keep reading to learn more.
Given numbers are 933,618,728,780,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,618,728,780,845 is 4547404680.
Find LCM of 933,618,728,780,845 with Prime Factorization
| 2 | 933, 618, 728, 780, 845 |
| 2 | 933, 309, 364, 390, 845 |
| 3 | 933, 309, 182, 195, 845 |
| 5 | 311, 103, 182, 65, 845 |
| 13 | 311, 103, 182, 13, 169 |
| 311, 103, 14, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 311 x 103 x 14 x 1 x 13 = 4547404680
Therefore, the lowest common multiple of 933,618,728,780,845 is 4547404680.
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.
933 x 618 x 728 x 780 x 845 = 276664100731200
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.
933 : 1, 3, 311, 933
618 : 1, 2, 3, 6, 103, 206, 309, 618
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,618,728,780,845, is 1.
Now, the common factors can be found like this.
933:3x 311
618:2x 3x 103
728:2x 2x 2x 7x 13
780:2x 2x 3x 5x 13
845:5x 13x 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 3x 3x 5x 13x 13 = 60840
Therefore, the value for common factors is 60840.
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 = 276664100731200/(1x60840)
LCM = 276664100731200/60840
LCM = 4547404680
Thus, we can understand that the LCM of 933,618,728,780,845 is 4547404680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 933, 618, 728, 780, 845
1. What is the LCM of 933, 618, 728, 780, 845?
Answer: LCM of 933, 618, 728, 780, 845 is 4547404680.
2. How to calculate the LCM of 933, 618, 728, 780, 845?
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 933, 618, 728, 780, 845.
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}.