Find the LCM of 241, 185, 723, 664 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 241, 185, 723, 664. So, keep reading to learn more.
Given numbers are 241,185,723,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 241,185,723,664 is 88813320.
Find LCM of 241,185,723,664 with Prime Factorization
241 | 241, 185, 723, 664 |
1, 185, 3, 664 |
Multiply the prime numbers at the bottom and the left side.
241 x 1 x 185 x 3 x 664 = 88813320
Therefore, the lowest common multiple of 241,185,723,664 is 88813320.
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.
241 x 185 x 723 x 664 = 21404010120
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.
241 : 1, 241
185 : 1, 5, 37, 185
723 : 1, 3, 241, 723
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,185,723,664, is 1.
Now, the common factors can be found like this.
241:241
185:5x 37
723:3x 241
664:2x 2x 2x 83
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 = 21404010120/(1x241)
LCM = 21404010120/241
LCM = 88813320
Thus, we can understand that the LCM of 241,185,723,664 is 88813320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 241, 185, 723, 664?
Answer: LCM of 241, 185, 723, 664 is 88813320.
2. How to calculate the LCM of 241, 185, 723, 664?
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 241, 185, 723, 664.
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}.