Find the LCM of 380, 791, 446, 414, 196 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 380, 791, 446, 414, 196. So, keep reading to learn more.
Given numbers are 380,791,446,414,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,791,446,414,196 is 97125513660.
Find LCM of 380,791,446,414,196 with Prime Factorization
2 | 380, 791, 446, 414, 196 |
2 | 190, 791, 223, 207, 98 |
7 | 95, 791, 223, 207, 49 |
95, 113, 223, 207, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 95 x 113 x 223 x 207 x 7 = 97125513660
Therefore, the lowest common multiple of 380,791,446,414,196 is 97125513660.
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.
380 x 791 x 446 x 414 x 196 = 10878057529920
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
791 : 1, 7, 113, 791
446 : 1, 2, 223, 446
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,791,446,414,196, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
791:7x 113
446:2x 223
414:2x 3x 3x 23
196:2x 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 7 = 112
Therefore, the value for common factors is 112.
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 = 10878057529920/(1x112)
LCM = 10878057529920/112
LCM = 97125513660
Thus, we can understand that the LCM of 380,791,446,414,196 is 97125513660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 380, 791, 446, 414, 196?
Answer: LCM of 380, 791, 446, 414, 196 is 97125513660.
2. How to calculate the LCM of 380, 791, 446, 414, 196?
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 380, 791, 446, 414, 196.
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}.