Find the LCM of 748, 214, 330, 198, 689 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 748, 214, 330, 198, 689. So, keep reading to learn more.
Given numbers are 748,214,330,198,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,214,330,198,689 is 2481516180.
Find LCM of 748,214,330,198,689 with Prime Factorization
2 | 748, 214, 330, 198, 689 |
3 | 374, 107, 165, 99, 689 |
11 | 374, 107, 55, 33, 689 |
34, 107, 5, 3, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 34 x 107 x 5 x 3 x 689 = 2481516180
Therefore, the lowest common multiple of 748,214,330,198,689 is 2481516180.
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.
748 x 214 x 330 x 198 x 689 = 7206322986720
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
214 : 1, 2, 107, 214
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,214,330,198,689, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
214:2x 107
330:2x 3x 5x 11
198:2x 3x 3x 11
689:13x 53
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 2x 3x 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 7206322986720/(1x2904)
LCM = 7206322986720/2904
LCM = 2481516180
Thus, we can understand that the LCM of 748,214,330,198,689 is 2481516180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 748, 214, 330, 198, 689?
Answer: LCM of 748, 214, 330, 198, 689 is 2481516180.
2. How to calculate the LCM of 748, 214, 330, 198, 689?
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 748, 214, 330, 198, 689.
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}.