Find the LCM of 330, 617, 655, 880, 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 330, 617, 655, 880, 682. So, keep reading to learn more.
Given numbers are 330,617,655,880,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,617,655,880,682 is 6614881680.
Find LCM of 330,617,655,880,682 with Prime Factorization
2 | 330, 617, 655, 880, 682 |
5 | 165, 617, 655, 440, 341 |
11 | 33, 617, 131, 88, 341 |
3, 617, 131, 8, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 3 x 617 x 131 x 8 x 31 = 6614881680
Therefore, the lowest common multiple of 330,617,655,880,682 is 6614881680.
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.
330 x 617 x 655 x 880 x 682 = 80040068328000
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
617 : 1, 617
655 : 1, 5, 131, 655
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
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 330,617,655,880,682, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
617:617
655:5x 131
880:2x 2x 2x 2x 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 5x 11x 11 = 12100
Therefore, the value for common factors is 12100.
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 = 80040068328000/(1x12100)
LCM = 80040068328000/12100
LCM = 6614881680
Thus, we can understand that the LCM of 330,617,655,880,682 is 6614881680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 330, 617, 655, 880, 682?
Answer: LCM of 330, 617, 655, 880, 682 is 6614881680.
2. How to calculate the LCM of 330, 617, 655, 880, 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 330, 617, 655, 880, 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}.