Find the LCM of 109, 193, 723, 964 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 109, 193, 723, 964. So, keep reading to learn more.
Given numbers are 109,193,723,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 109,193,723,964 is 60839004.
Find LCM of 109,193,723,964 with Prime Factorization
241 | 109, 193, 723, 964 |
109, 193, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
241 x 109 x 193 x 3 x 4 = 60839004
Therefore, the lowest common multiple of 109,193,723,964 is 60839004.
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.
109 x 193 x 723 x 964 = 14662199964
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.
109 : 1, 109
193 : 1, 193
723 : 1, 3, 241, 723
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,193,723,964, is 1.
Now, the common factors can be found like this.
109:109
193:193
723:3x 241
964:2x 2x 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 = 14662199964/(1x241)
LCM = 14662199964/241
LCM = 60839004
Thus, we can understand that the LCM of 109,193,723,964 is 60839004.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 109, 193, 723, 964?
Answer: LCM of 109, 193, 723, 964 is 60839004.
2. How to calculate the LCM of 109, 193, 723, 964?
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 109, 193, 723, 964.
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}.