Find the LCM of 328, 685, 274, 867 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 328, 685, 274, 867. So, keep reading to learn more.
Given numbers are 328,685,274,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,685,274,867 is 194797560.
Find LCM of 328,685,274,867 with Prime Factorization
2 | 328, 685, 274, 867 |
137 | 164, 685, 137, 867 |
164, 5, 1, 867 |
Multiply the prime numbers at the bottom and the left side.
2 x 137 x 164 x 5 x 1 x 867 = 194797560
Therefore, the lowest common multiple of 328,685,274,867 is 194797560.
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.
328 x 685 x 274 x 867 = 53374531440
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
685 : 1, 5, 137, 685
274 : 1, 2, 137, 274
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,685,274,867, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
685:5x 137
274:2x 137
867:3x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 137 = 274
Therefore, the value for common factors is 274.
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 = 53374531440/(1x274)
LCM = 53374531440/274
LCM = 194797560
Thus, we can understand that the LCM of 328,685,274,867 is 194797560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 685, 274, 867?
Answer: LCM of 328, 685, 274, 867 is 194797560.
2. How to calculate the LCM of 328, 685, 274, 867?
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 328, 685, 274, 867.
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}.