Find the LCM of 723, 649, 241, 214 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 723, 649, 241, 214. So, keep reading to learn more.
Given numbers are 723,649,241,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,649,241,214 is 100414578.
Find LCM of 723,649,241,214 with Prime Factorization
241 | 723, 649, 241, 214 |
3, 649, 1, 214 |
Multiply the prime numbers at the bottom and the left side.
241 x 3 x 649 x 1 x 214 = 100414578
Therefore, the lowest common multiple of 723,649,241,214 is 100414578.
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.
723 x 649 x 241 x 214 = 24199913298
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.
723 : 1, 3, 241, 723
649 : 1, 11, 59, 649
241 : 1, 241
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,649,241,214, is 1.
Now, the common factors can be found like this.
723:3x 241
649:11x 59
241:241
214:2x 107
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 = 24199913298/(1x241)
LCM = 24199913298/241
LCM = 100414578
Thus, we can understand that the LCM of 723,649,241,214 is 100414578.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 723, 649, 241, 214?
Answer: LCM of 723, 649, 241, 214 is 100414578.
2. How to calculate the LCM of 723, 649, 241, 214?
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 723, 649, 241, 214.
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}.