Find the LCM of 361, 779, 981, 436 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 361, 779, 981, 436. So, keep reading to learn more.
Given numbers are 361,779,981,436
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,779,981,436 is 58079124.
Find LCM of 361,779,981,436 with Prime Factorization
19 | 361, 779, 981, 436 |
109 | 19, 41, 981, 436 |
19, 41, 9, 4 |
Multiply the prime numbers at the bottom and the left side.
19 x 109 x 19 x 41 x 9 x 4 = 58079124
Therefore, the lowest common multiple of 361,779,981,436 is 58079124.
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.
361 x 779 x 981 x 436 = 120281865804
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.
361 : 1, 19, 361
779 : 1, 19, 41, 779
981 : 1, 3, 9, 109, 327, 981
436 : 1, 2, 4, 109, 218, 436
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,779,981,436, is 1.
Now, the common factors can be found like this.
361:19x 19
779:19x 41
981:3x 3x 109
436:2x 2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 109 = 2071
Therefore, the value for common factors is 2071.
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 = 120281865804/(1x2071)
LCM = 120281865804/2071
LCM = 58079124
Thus, we can understand that the LCM of 361,779,981,436 is 58079124.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 361, 779, 981, 436?
Answer: LCM of 361, 779, 981, 436 is 58079124.
2. How to calculate the LCM of 361, 779, 981, 436?
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 361, 779, 981, 436.
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}.