Find the LCM of 947, 826, 700, 273, 539 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 947, 826, 700, 273, 539. So, keep reading to learn more.
Given numbers are 947,826,700,273,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,826,700,273,539 is 117450633300.
Find LCM of 947,826,700,273,539 with Prime Factorization
2 | 947, 826, 700, 273, 539 |
7 | 947, 413, 350, 273, 539 |
947, 59, 50, 39, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 947 x 59 x 50 x 39 x 77 = 117450633300
Therefore, the lowest common multiple of 947,826,700,273,539 is 117450633300.
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.
947 x 826 x 700 x 273 x 539 = 80571134443800
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.
947 : 1, 947
826 : 1, 2, 7, 14, 59, 118, 413, 826
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
273 : 1, 3, 7, 13, 21, 39, 91, 273
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,826,700,273,539, is 1.
Now, the common factors can be found like this.
947:947
826:2x 7x 59
700:2x 2x 5x 5x 7
273:3x 7x 13
539:7x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 7 = 686
Therefore, the value for common factors is 686.
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 = 80571134443800/(1x686)
LCM = 80571134443800/686
LCM = 117450633300
Thus, we can understand that the LCM of 947,826,700,273,539 is 117450633300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 947, 826, 700, 273, 539?
Answer: LCM of 947, 826, 700, 273, 539 is 117450633300.
2. How to calculate the LCM of 947, 826, 700, 273, 539?
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 947, 826, 700, 273, 539.
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}.