Find the LCM of 428, 214, 746, 128 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 428, 214, 746, 128. So, keep reading to learn more.
Given numbers are 428,214,746,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,214,746,128 is 5108608.
Find LCM of 428,214,746,128 with Prime Factorization
2 | 428, 214, 746, 128 |
2 | 214, 107, 373, 64 |
107 | 107, 107, 373, 32 |
1, 1, 373, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 107 x 1 x 1 x 373 x 32 = 5108608
Therefore, the lowest common multiple of 428,214,746,128 is 5108608.
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.
428 x 214 x 746 x 128 = 8745936896
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.
428 : 1, 2, 4, 107, 214, 428
214 : 1, 2, 107, 214
746 : 1, 2, 373, 746
128 : 1, 2, 4, 8, 16, 32, 64, 128
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,214,746,128, is 2.
Now, the common factors can be found like this.
428:2x 2x 107
214:2x 107
746:2x 373
128:2x 2x 2x 2x 2x 2x 2
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 107 = 856
Therefore, the value for common factors is 856.
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 = 8745936896/(2x856)
LCM = 8745936896/1712
LCM = 5108608
Thus, we can understand that the LCM of 428,214,746,128 is 5108608.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 428, 214, 746, 128?
Answer: LCM of 428, 214, 746, 128 is 5108608.
2. How to calculate the LCM of 428, 214, 746, 128?
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 428, 214, 746, 128.
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}.