Find the LCM of 723, 326, 225, 566 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, 326, 225, 566. So, keep reading to learn more.
Given numbers are 723,326,225,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,326,225,566 is 5002690050.
Find LCM of 723,326,225,566 with Prime Factorization
2 | 723, 326, 225, 566 |
3 | 723, 163, 225, 283 |
241, 163, 75, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 241 x 163 x 75 x 283 = 5002690050
Therefore, the lowest common multiple of 723,326,225,566 is 5002690050.
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 326 x 225 x 566 = 30016140300
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
326 : 1, 2, 163, 326
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,326,225,566, is 1.
Now, the common factors can be found like this.
723:3x 241
326:2x 163
225:3x 3x 5x 5
566:2x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 30016140300/(1x6)
LCM = 30016140300/6
LCM = 5002690050
Thus, we can understand that the LCM of 723,326,225,566 is 5002690050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 723, 326, 225, 566?
Answer: LCM of 723, 326, 225, 566 is 5002690050.
2. How to calculate the LCM of 723, 326, 225, 566?
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, 326, 225, 566.
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}.