Find the LCM of 314, 240, 275, 682 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 314, 240, 275, 682. So, keep reading to learn more.
Given numbers are 314,240,275,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,240,275,682 is 64244400.
Find LCM of 314,240,275,682 with Prime Factorization
2 | 314, 240, 275, 682 |
5 | 157, 120, 275, 341 |
11 | 157, 24, 55, 341 |
157, 24, 5, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 157 x 24 x 5 x 31 = 64244400
Therefore, the lowest common multiple of 314,240,275,682 is 64244400.
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.
314 x 240 x 275 x 682 = 14133768000
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.
314 : 1, 2, 157, 314
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
275 : 1, 5, 11, 25, 55, 275
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,240,275,682, is 1.
Now, the common factors can be found like this.
314:2x 157
240:2x 2x 2x 2x 3x 5
275:5x 5x 11
682:2x 11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 14133768000/(1x220)
LCM = 14133768000/220
LCM = 64244400
Thus, we can understand that the LCM of 314,240,275,682 is 64244400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 314, 240, 275, 682?
Answer: LCM of 314, 240, 275, 682 is 64244400.
2. How to calculate the LCM of 314, 240, 275, 682?
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 314, 240, 275, 682.
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}.