Find the LCM of 273, 715, 781, 719 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 273, 715, 781, 719. So, keep reading to learn more.
Given numbers are 273,715,781,719
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,715,781,719 is 766500735.
Find LCM of 273,715,781,719 with Prime Factorization
11 | 273, 715, 781, 719 |
13 | 273, 65, 71, 719 |
21, 5, 71, 719 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 21 x 5 x 71 x 719 = 766500735
Therefore, the lowest common multiple of 273,715,781,719 is 766500735.
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.
273 x 715 x 781 x 719 = 109609605105
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
715 : 1, 5, 11, 13, 55, 65, 143, 715
781 : 1, 11, 71, 781
719 : 1, 719
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,715,781,719, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
715:5x 11x 13
781:11x 71
719:719
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 109609605105/(1x143)
LCM = 109609605105/143
LCM = 766500735
Thus, we can understand that the LCM of 273,715,781,719 is 766500735.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 273, 715, 781, 719?
Answer: LCM of 273, 715, 781, 719 is 766500735.
2. How to calculate the LCM of 273, 715, 781, 719?
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 273, 715, 781, 719.
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}.