Find the LCM of 781, 788, 213, 678 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 781, 788, 213, 678. So, keep reading to learn more.
Given numbers are 781,788,213,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,788,213,678 is 208630092.
Find LCM of 781,788,213,678 with Prime Factorization
2 | 781, 788, 213, 678 |
3 | 781, 394, 213, 339 |
71 | 781, 394, 71, 113 |
11, 394, 1, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 11 x 394 x 1 x 113 = 208630092
Therefore, the lowest common multiple of 781,788,213,678 is 208630092.
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.
781 x 788 x 213 x 678 = 88876419192
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.
781 : 1, 11, 71, 781
788 : 1, 2, 4, 197, 394, 788
213 : 1, 3, 71, 213
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,788,213,678, is 1.
Now, the common factors can be found like this.
781:11x 71
788:2x 2x 197
213:3x 71
678:2x 3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 71 = 426
Therefore, the value for common factors is 426.
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 = 88876419192/(1x426)
LCM = 88876419192/426
LCM = 208630092
Thus, we can understand that the LCM of 781,788,213,678 is 208630092.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 781, 788, 213, 678?
Answer: LCM of 781, 788, 213, 678 is 208630092.
2. How to calculate the LCM of 781, 788, 213, 678?
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 781, 788, 213, 678.
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}.