Find the LCM of 820, 710, 748, 214, 646 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 820, 710, 748, 214, 646. So, keep reading to learn more.
Given numbers are 820,710,748,214,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,710,748,214,646 is 22133555620.
Find LCM of 820,710,748,214,646 with Prime Factorization
2 | 820, 710, 748, 214, 646 |
2 | 410, 355, 374, 107, 323 |
5 | 205, 355, 187, 107, 323 |
17 | 41, 71, 187, 107, 323 |
41, 71, 11, 107, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 41 x 71 x 11 x 107 x 19 = 22133555620
Therefore, the lowest common multiple of 820,710,748,214,646 is 22133555620.
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.
820 x 710 x 748 x 214 x 646 = 60203271286400
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
710 : 1, 2, 5, 10, 71, 142, 355, 710
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
214 : 1, 2, 107, 214
646 : 1, 2, 17, 19, 34, 38, 323, 646
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,710,748,214,646, is 2.
Now, the common factors can be found like this.
820:2x 2x 5x 41
710:2x 5x 71
748:2x 2x 11x 17
214:2x 107
646:2x 17x 19
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 2x 5x 17 = 1360
Therefore, the value for common factors is 1360.
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 = 60203271286400/(2x1360)
LCM = 60203271286400/2720
LCM = 22133555620
Thus, we can understand that the LCM of 820,710,748,214,646 is 22133555620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 820, 710, 748, 214, 646?
Answer: LCM of 820, 710, 748, 214, 646 is 22133555620.
2. How to calculate the LCM of 820, 710, 748, 214, 646?
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 820, 710, 748, 214, 646.
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}.