Find the LCM of 373, 947, 393, 534, 717 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 373, 947, 393, 534, 717. So, keep reading to learn more.
Given numbers are 373,947,393,534,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,947,393,534,717 is 5905671208386.
Find LCM of 373,947,393,534,717 with Prime Factorization
3 | 373, 947, 393, 534, 717 |
373, 947, 131, 178, 239 |
Multiply the prime numbers at the bottom and the left side.
3 x 373 x 947 x 131 x 178 x 239 = 5905671208386
Therefore, the lowest common multiple of 373,947,393,534,717 is 5905671208386.
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.
373 x 947 x 393 x 534 x 717 = 53151040875474
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.
373 : 1, 373
947 : 1, 947
393 : 1, 3, 131, 393
534 : 1, 2, 3, 6, 89, 178, 267, 534
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,947,393,534,717, is 1.
Now, the common factors can be found like this.
373:373
947:947
393:3x 131
534:2x 3x 89
717:3x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 53151040875474/(1x9)
LCM = 53151040875474/9
LCM = 5905671208386
Thus, we can understand that the LCM of 373,947,393,534,717 is 5905671208386.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 373, 947, 393, 534, 717?
Answer: LCM of 373, 947, 393, 534, 717 is 5905671208386.
2. How to calculate the LCM of 373, 947, 393, 534, 717?
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 373, 947, 393, 534, 717.
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}.