Find the LCM of 386, 685, 845, 940, 967 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 386, 685, 845, 940, 967. So, keep reading to learn more.
Given numbers are 386,685,845,940,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 386,685,845,940,967 is 4061803490420.
Find LCM of 386,685,845,940,967 with Prime Factorization
2 | 386, 685, 845, 940, 967 |
5 | 193, 685, 845, 470, 967 |
193, 137, 169, 94, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 193 x 137 x 169 x 94 x 967 = 4061803490420
Therefore, the lowest common multiple of 386,685,845,940,967 is 4061803490420.
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.
386 x 685 x 845 x 940 x 967 = 203090174521000
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.
386 : 1, 2, 193, 386
685 : 1, 5, 137, 685
845 : 1, 5, 13, 65, 169, 845
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,685,845,940,967, is 1.
Now, the common factors can be found like this.
386:2x 193
685:5x 137
845:5x 13x 13
940:2x 2x 5x 47
967:967
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 203090174521000/(1x50)
LCM = 203090174521000/50
LCM = 4061803490420
Thus, we can understand that the LCM of 386,685,845,940,967 is 4061803490420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 386, 685, 845, 940, 967?
Answer: LCM of 386, 685, 845, 940, 967 is 4061803490420.
2. How to calculate the LCM of 386, 685, 845, 940, 967?
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 386, 685, 845, 940, 967.
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}.