LCM of 561, 867, 770, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 867, 770, 731 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, 867, 770, 731. So, keep reading to learn more.
Given numbers are 561,867,770,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,867,770,731 is 28706370.
Find LCM of 561,867,770,731 with Prime Factorization
| 3 | 561, 867, 770, 731 |
| 11 | 187, 289, 770, 731 |
| 17 | 17, 289, 70, 731 |
| 1, 17, 70, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 1 x 17 x 70 x 43 = 28706370
Therefore, the lowest common multiple of 561,867,770,731 is 28706370.
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 867 x 770 x 731 = 273772650690
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
867 : 1, 3, 17, 51, 289, 867
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,867,770,731, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
867:3x 17x 17
770:2x 5x 7x 11
731:17x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17x 17 = 9537
Therefore, the value for common factors is 9537.
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 = 273772650690/(1x9537)
LCM = 273772650690/9537
LCM = 28706370
Thus, we can understand that the LCM of 561,867,770,731 is 28706370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 867, 770, 731
1. What is the LCM of 561, 867, 770, 731?
Answer: LCM of 561, 867, 770, 731 is 28706370.
2. How to calculate the LCM of 561, 867, 770, 731?
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, 867, 770, 731.
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}.