Find the LCM of 788, 538, 420, 214, 724 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 788, 538, 420, 214, 724. So, keep reading to learn more.
Given numbers are 788,538,420,214,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,538,420,214,724 is 431052481020.
Find LCM of 788,538,420,214,724 with Prime Factorization
2 | 788, 538, 420, 214, 724 |
2 | 394, 269, 210, 107, 362 |
197, 269, 105, 107, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 197 x 269 x 105 x 107 x 181 = 431052481020
Therefore, the lowest common multiple of 788,538,420,214,724 is 431052481020.
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.
788 x 538 x 420 x 214 x 724 = 27587358785280
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.
788 : 1, 2, 4, 197, 394, 788
538 : 1, 2, 269, 538
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
214 : 1, 2, 107, 214
724 : 1, 2, 4, 181, 362, 724
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,538,420,214,724, is 2.
Now, the common factors can be found like this.
788:2x 2x 197
538:2x 269
420:2x 2x 3x 5x 7
214:2x 107
724:2x 2x 181
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 2 = 32
Therefore, the value for common factors is 32.
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 = 27587358785280/(2x32)
LCM = 27587358785280/64
LCM = 431052481020
Thus, we can understand that the LCM of 788,538,420,214,724 is 431052481020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 788, 538, 420, 214, 724?
Answer: LCM of 788, 538, 420, 214, 724 is 431052481020.
2. How to calculate the LCM of 788, 538, 420, 214, 724?
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 788, 538, 420, 214, 724.
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}.