Find the LCM of 537, 954, 214, 722, 713 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 537, 954, 214, 722, 713. So, keep reading to learn more.
Given numbers are 537,954,214,722,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,954,214,722,713 is 4703075115066.
Find LCM of 537,954,214,722,713 with Prime Factorization
2 | 537, 954, 214, 722, 713 |
3 | 537, 477, 107, 361, 713 |
179, 159, 107, 361, 713 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 179 x 159 x 107 x 361 x 713 = 4703075115066
Therefore, the lowest common multiple of 537,954,214,722,713 is 4703075115066.
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.
537 x 954 x 214 x 722 x 713 = 56436901380792
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.
537 : 1, 3, 179, 537
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
214 : 1, 2, 107, 214
722 : 1, 2, 19, 38, 361, 722
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,954,214,722,713, is 1.
Now, the common factors can be found like this.
537:3x 179
954:2x 3x 3x 53
214:2x 107
722:2x 19x 19
713:23x 31
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 3 = 12
Therefore, the value for common factors is 12.
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 = 56436901380792/(1x12)
LCM = 56436901380792/12
LCM = 4703075115066
Thus, we can understand that the LCM of 537,954,214,722,713 is 4703075115066.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 537, 954, 214, 722, 713?
Answer: LCM of 537, 954, 214, 722, 713 is 4703075115066.
2. How to calculate the LCM of 537, 954, 214, 722, 713?
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 537, 954, 214, 722, 713.
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}.