Find the LCM of 196, 224, 421, 784 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 196, 224, 421, 784. So, keep reading to learn more.
Given numbers are 196,224,421,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 196,224,421,784 is 660128.
Find LCM of 196,224,421,784 with Prime Factorization
2 | 196, 224, 421, 784 |
2 | 98, 112, 421, 392 |
2 | 49, 56, 421, 196 |
2 | 49, 28, 421, 98 |
7 | 49, 14, 421, 49 |
7 | 7, 2, 421, 7 |
1, 2, 421, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 7 x 1 x 2 x 421 x 1 = 660128
Therefore, the lowest common multiple of 196,224,421,784 is 660128.
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.
196 x 224 x 421 x 784 = 14491129856
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.
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
421 : 1, 421
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 196,224,421,784, is 1.
Now, the common factors can be found like this.
196:2x 2x 7x 7
224:2x 2x 2x 2x 2x 7
421:421
784:2x 2x 2x 2x 7x 7
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 2x 2x 7x 7x 7 = 21952
Therefore, the value for common factors is 21952.
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 = 14491129856/(1x21952)
LCM = 14491129856/21952
LCM = 660128
Thus, we can understand that the LCM of 196,224,421,784 is 660128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 196, 224, 421, 784?
Answer: LCM of 196, 224, 421, 784 is 660128.
2. How to calculate the LCM of 196, 224, 421, 784?
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 196, 224, 421, 784.
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}.