Find the LCM of 196, 452, 412, 454, 770 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, 452, 412, 454, 770. So, keep reading to learn more.
Given numbers are 196,452,412,454,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 196,452,412,454,770 is 28481331340.
Find LCM of 196,452,412,454,770 with Prime Factorization
2 | 196, 452, 412, 454, 770 |
2 | 98, 226, 206, 227, 385 |
7 | 49, 113, 103, 227, 385 |
7, 113, 103, 227, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 113 x 103 x 227 x 55 = 28481331340
Therefore, the lowest common multiple of 196,452,412,454,770 is 28481331340.
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 452 x 412 x 454 x 770 = 12759636440320
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
452 : 1, 2, 4, 113, 226, 452
412 : 1, 2, 4, 103, 206, 412
454 : 1, 2, 227, 454
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 196,452,412,454,770, is 2.
Now, the common factors can be found like this.
196:2x 2x 7x 7
452:2x 2x 113
412:2x 2x 103
454:2x 227
770:2x 5x 7x 11
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 7 = 224
Therefore, the value for common factors is 224.
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 = 12759636440320/(2x224)
LCM = 12759636440320/448
LCM = 28481331340
Thus, we can understand that the LCM of 196,452,412,454,770 is 28481331340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 196, 452, 412, 454, 770?
Answer: LCM of 196, 452, 412, 454, 770 is 28481331340.
2. How to calculate the LCM of 196, 452, 412, 454, 770?
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, 452, 412, 454, 770.
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}.