Find the LCM of 909, 523, 367, 734 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 909, 523, 367, 734. So, keep reading to learn more.
Given numbers are 909,523,367,734
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,523,367,734 is 348948738.
Find LCM of 909,523,367,734 with Prime Factorization
367 | 909, 523, 367, 734 |
909, 523, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
367 x 909 x 523 x 1 x 2 = 348948738
Therefore, the lowest common multiple of 909,523,367,734 is 348948738.
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.
909 x 523 x 367 x 734 = 128064186846
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.
909 : 1, 3, 9, 101, 303, 909
523 : 1, 523
367 : 1, 367
734 : 1, 2, 367, 734
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,523,367,734, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
523:523
367:367
734:2x 367
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
367 = 367
Therefore, the value for common factors is 367.
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 = 128064186846/(1x367)
LCM = 128064186846/367
LCM = 348948738
Thus, we can understand that the LCM of 909,523,367,734 is 348948738.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 909, 523, 367, 734?
Answer: LCM of 909, 523, 367, 734 is 348948738.
2. How to calculate the LCM of 909, 523, 367, 734?
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 909, 523, 367, 734.
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}.