Find the LCM of 454, 786, 961, 965, 359 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 454, 786, 961, 965, 359. So, keep reading to learn more.
Given numbers are 454,786,961,965,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,786,961,965,359 is 59400972172770.
Find LCM of 454,786,961,965,359 with Prime Factorization
2 | 454, 786, 961, 965, 359 |
227, 393, 961, 965, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 227 x 393 x 961 x 965 x 359 = 59400972172770
Therefore, the lowest common multiple of 454,786,961,965,359 is 59400972172770.
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.
454 x 786 x 961 x 965 x 359 = 118801944345540
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.
454 : 1, 2, 227, 454
786 : 1, 2, 3, 6, 131, 262, 393, 786
961 : 1, 31, 961
965 : 1, 5, 193, 965
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,786,961,965,359, is 1.
Now, the common factors can be found like this.
454:2x 227
786:2x 3x 131
961:31x 31
965:5x 193
359:359
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 118801944345540/(1x2)
LCM = 118801944345540/2
LCM = 59400972172770
Thus, we can understand that the LCM of 454,786,961,965,359 is 59400972172770.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 454, 786, 961, 965, 359?
Answer: LCM of 454, 786, 961, 965, 359 is 59400972172770.
2. How to calculate the LCM of 454, 786, 961, 965, 359?
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 454, 786, 961, 965, 359.
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}.