Find the LCM of 309, 367, 367, 781 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 309, 367, 367, 781. So, keep reading to learn more.
Given numbers are 309,367,367,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,367,367,781 is 88567743.
Find LCM of 309,367,367,781 with Prime Factorization
367 | 309, 367, 367, 781 |
309, 1, 1, 781 |
Multiply the prime numbers at the bottom and the left side.
367 x 309 x 1 x 1 x 781 = 88567743
Therefore, the lowest common multiple of 309,367,367,781 is 88567743.
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.
309 x 367 x 367 x 781 = 32504361681
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.
309 : 1, 3, 103, 309
367 : 1, 367
367 : 1, 367
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,367,367,781, is 1.
Now, the common factors can be found like this.
309:3x 103
367:367
367:367
781:11x 71
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 = 32504361681/(1x367)
LCM = 32504361681/367
LCM = 88567743
Thus, we can understand that the LCM of 309,367,367,781 is 88567743.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 367, 367, 781?
Answer: LCM of 309, 367, 367, 781 is 88567743.
2. How to calculate the LCM of 309, 367, 367, 781?
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 309, 367, 367, 781.
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}.