LCM of 561, 677, 372, 403, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 677, 372, 403, 850 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 561, 677, 372, 403, 850. So, keep reading to learn more.
Given numbers are 561,677,372,403,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,677,372,403,850 is 15305819100.
Find LCM of 561,677,372,403,850 with Prime Factorization
| 2 | 561, 677, 372, 403, 850 |
| 3 | 561, 677, 186, 403, 425 |
| 17 | 187, 677, 62, 403, 425 |
| 31 | 11, 677, 62, 403, 25 |
| 11, 677, 2, 13, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 31 x 11 x 677 x 2 x 13 x 25 = 15305819100
Therefore, the lowest common multiple of 561,677,372,403,850 is 15305819100.
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.
561 x 677 x 372 x 403 x 850 = 48396999994200
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
677 : 1, 677
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
403 : 1, 13, 31, 403
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,677,372,403,850, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
677:677
372:2x 2x 3x 31
403:13x 31
850:2x 5x 5x 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 3x 17x 31 = 3162
Therefore, the value for common factors is 3162.
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 = 48396999994200/(1x3162)
LCM = 48396999994200/3162
LCM = 15305819100
Thus, we can understand that the LCM of 561,677,372,403,850 is 15305819100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 677, 372, 403, 850
1. What is the LCM of 561, 677, 372, 403, 850?
Answer: LCM of 561, 677, 372, 403, 850 is 15305819100.
2. How to calculate the LCM of 561, 677, 372, 403, 850?
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 561, 677, 372, 403, 850.
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}.