Find the LCM of 317, 241, 425, 736, 723 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 317, 241, 425, 736, 723. So, keep reading to learn more.
Given numbers are 317,241,425,736,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,241,425,736,723 is 71690944800.
Find LCM of 317,241,425,736,723 with Prime Factorization
241 | 317, 241, 425, 736, 723 |
317, 1, 425, 736, 3 |
Multiply the prime numbers at the bottom and the left side.
241 x 317 x 1 x 425 x 736 x 3 = 71690944800
Therefore, the lowest common multiple of 317,241,425,736,723 is 71690944800.
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.
317 x 241 x 425 x 736 x 723 = 17277517696800
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.
317 : 1, 317
241 : 1, 241
425 : 1, 5, 17, 25, 85, 425
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,241,425,736,723, is 1.
Now, the common factors can be found like this.
317:317
241:241
425:5x 5x 17
736:2x 2x 2x 2x 2x 23
723:3x 241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
241 = 241
Therefore, the value for common factors is 241.
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 = 17277517696800/(1x241)
LCM = 17277517696800/241
LCM = 71690944800
Thus, we can understand that the LCM of 317,241,425,736,723 is 71690944800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 241, 425, 736, 723?
Answer: LCM of 317, 241, 425, 736, 723 is 71690944800.
2. How to calculate the LCM of 317, 241, 425, 736, 723?
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 317, 241, 425, 736, 723.
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}.