Find the LCM of 820, 825, 242, 852, 268 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, 825, 242, 852, 268. So, keep reading to learn more.
Given numbers are 820,825,242,852,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,825,242,852,268 is 7079843100.
Find LCM of 820,825,242,852,268 with Prime Factorization
2 | 820, 825, 242, 852, 268 |
2 | 410, 825, 121, 426, 134 |
3 | 205, 825, 121, 213, 67 |
5 | 205, 275, 121, 71, 67 |
11 | 41, 55, 121, 71, 67 |
41, 5, 11, 71, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 41 x 5 x 11 x 71 x 67 = 7079843100
Therefore, the lowest common multiple of 820,825,242,852,268 is 7079843100.
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 825 x 242 x 852 x 268 = 37381571568000
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
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
242 : 1, 2, 11, 22, 121, 242
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,825,242,852,268, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
825:3x 5x 5x 11
242:2x 11x 11
852:2x 2x 3x 71
268:2x 2x 67
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 2x 3x 5x 11 = 5280
Therefore, the value for common factors is 5280.
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 = 37381571568000/(1x5280)
LCM = 37381571568000/5280
LCM = 7079843100
Thus, we can understand that the LCM of 820,825,242,852,268 is 7079843100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 820, 825, 242, 852, 268?
Answer: LCM of 820, 825, 242, 852, 268 is 7079843100.
2. How to calculate the LCM of 820, 825, 242, 852, 268?
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, 825, 242, 852, 268.
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}.