Find the LCM of 392, 256, 738, 718 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 392, 256, 738, 718. So, keep reading to learn more.
Given numbers are 392,256,738,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,256,738,718 is 1661716224.
Find LCM of 392,256,738,718 with Prime Factorization
2 | 392, 256, 738, 718 |
2 | 196, 128, 369, 359 |
2 | 98, 64, 369, 359 |
49, 32, 369, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 49 x 32 x 369 x 359 = 1661716224
Therefore, the lowest common multiple of 392,256,738,718 is 1661716224.
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.
392 x 256 x 738 x 718 = 53174919168
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
718 : 1, 2, 359, 718
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,256,738,718, is 2.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
256:2x 2x 2x 2x 2x 2x 2x 2
738:2x 3x 3x 41
718:2x 359
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 2 = 16
Therefore, the value for common factors is 16.
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 = 53174919168/(2x16)
LCM = 53174919168/32
LCM = 1661716224
Thus, we can understand that the LCM of 392,256,738,718 is 1661716224.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 392, 256, 738, 718?
Answer: LCM of 392, 256, 738, 718 is 1661716224.
2. How to calculate the LCM of 392, 256, 738, 718?
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 392, 256, 738, 718.
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}.