Find the LCM of 684, 505, 680, 515 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 684, 505, 680, 515. So, keep reading to learn more.
Given numbers are 684,505,680,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,505,680,515 is 1209660840.
Find LCM of 684,505,680,515 with Prime Factorization
2 | 684, 505, 680, 515 |
2 | 342, 505, 340, 515 |
5 | 171, 505, 170, 515 |
171, 101, 34, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 171 x 101 x 34 x 103 = 1209660840
Therefore, the lowest common multiple of 684,505,680,515 is 1209660840.
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.
684 x 505 x 680 x 515 = 120966084000
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
505 : 1, 5, 101, 505
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,505,680,515, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
505:5x 101
680:2x 2x 2x 5x 17
515:5x 103
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 5 = 100
Therefore, the value for common factors is 100.
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 = 120966084000/(1x100)
LCM = 120966084000/100
LCM = 1209660840
Thus, we can understand that the LCM of 684,505,680,515 is 1209660840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 684, 505, 680, 515?
Answer: LCM of 684, 505, 680, 515 is 1209660840.
2. How to calculate the LCM of 684, 505, 680, 515?
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 684, 505, 680, 515.
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}.