LCM of 561, 244, 410, 606, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 244, 410, 606, 943 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, 244, 410, 606, 943. So, keep reading to learn more.
Given numbers are 561,244,410,606,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,244,410,606,943 is 65186214060.
Find LCM of 561,244,410,606,943 with Prime Factorization
| 2 | 561, 244, 410, 606, 943 |
| 3 | 561, 122, 205, 303, 943 |
| 41 | 187, 122, 205, 101, 943 |
| 187, 122, 5, 101, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 187 x 122 x 5 x 101 x 23 = 65186214060
Therefore, the lowest common multiple of 561,244,410,606,943 is 65186214060.
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 244 x 410 x 606 x 943 = 32071617317520
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
244 : 1, 2, 4, 61, 122, 244
410 : 1, 2, 5, 10, 41, 82, 205, 410
606 : 1, 2, 3, 6, 101, 202, 303, 606
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,244,410,606,943, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
244:2x 2x 61
410:2x 5x 41
606:2x 3x 101
943:23x 41
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 3x 41 = 492
Therefore, the value for common factors is 492.
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 = 32071617317520/(1x492)
LCM = 32071617317520/492
LCM = 65186214060
Thus, we can understand that the LCM of 561,244,410,606,943 is 65186214060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 244, 410, 606, 943
1. What is the LCM of 561, 244, 410, 606, 943?
Answer: LCM of 561, 244, 410, 606, 943 is 65186214060.
2. How to calculate the LCM of 561, 244, 410, 606, 943?
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, 244, 410, 606, 943.
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}.