Find the LCM of 308, 869, 748, 806 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 308, 869, 748, 806. So, keep reading to learn more.
Given numbers are 308,869,748,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,869,748,806 is 166698532.
Find LCM of 308,869,748,806 with Prime Factorization
2 | 308, 869, 748, 806 |
2 | 154, 869, 374, 403 |
11 | 77, 869, 187, 403 |
7, 79, 17, 403 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 7 x 79 x 17 x 403 = 166698532
Therefore, the lowest common multiple of 308,869,748,806 is 166698532.
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.
308 x 869 x 748 x 806 = 161364178976
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
869 : 1, 11, 79, 869
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,869,748,806, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
869:11x 79
748:2x 2x 11x 17
806:2x 13x 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 2x 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 161364178976/(1x968)
LCM = 161364178976/968
LCM = 166698532
Thus, we can understand that the LCM of 308,869,748,806 is 166698532.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 308, 869, 748, 806?
Answer: LCM of 308, 869, 748, 806 is 166698532.
2. How to calculate the LCM of 308, 869, 748, 806?
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 308, 869, 748, 806.
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}.