Find the LCM of 561, 731, 537, 540, 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, 731, 537, 540, 731. So, keep reading to learn more.
Given numbers are 561,731,537,540,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,731,537,540,731 is 777243060.
Find LCM of 561,731,537,540,731 with Prime Factorization
3 | 561, 731, 537, 540, 731 |
17 | 187, 731, 179, 180, 731 |
43 | 11, 43, 179, 180, 43 |
11, 1, 179, 180, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 43 x 11 x 1 x 179 x 180 x 1 = 777243060
Therefore, the lowest common multiple of 561,731,537,540,731 is 777243060.
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 731 x 537 x 540 x 731 = 86929195559580
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
731 : 1, 17, 43, 731
537 : 1, 3, 179, 537
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,731,537,540,731, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
731:17x 43
537:3x 179
540:2x 2x 3x 3x 3x 5
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 3x 17x 17x 43 = 111843
Therefore, the value for common factors is 111843.
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 = 86929195559580/(1x111843)
LCM = 86929195559580/111843
LCM = 777243060
Thus, we can understand that the LCM of 561,731,537,540,731 is 777243060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 731, 537, 540, 731?
Answer: LCM of 561, 731, 537, 540, 731 is 777243060.
2. How to calculate the LCM of 561, 731, 537, 540, 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, 731, 537, 540, 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}.