Find the LCM of 377, 169, 865, 416, 447 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 377, 169, 865, 416, 447. So, keep reading to learn more.
Given numbers are 377,169,865,416,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,169,865,416,447 is 60639876960.
Find LCM of 377,169,865,416,447 with Prime Factorization
13 | 377, 169, 865, 416, 447 |
29, 13, 865, 32, 447 |
Multiply the prime numbers at the bottom and the left side.
13 x 29 x 13 x 865 x 32 x 447 = 60639876960
Therefore, the lowest common multiple of 377,169,865,416,447 is 60639876960.
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.
377 x 169 x 865 x 416 x 447 = 10248139206240
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.
377 : 1, 13, 29, 377
169 : 1, 13, 169
865 : 1, 5, 173, 865
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,169,865,416,447, is 1.
Now, the common factors can be found like this.
377:13x 29
169:13x 13
865:5x 173
416:2x 2x 2x 2x 2x 13
447:3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 10248139206240/(1x169)
LCM = 10248139206240/169
LCM = 60639876960
Thus, we can understand that the LCM of 377,169,865,416,447 is 60639876960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 169, 865, 416, 447?
Answer: LCM of 377, 169, 865, 416, 447 is 60639876960.
2. How to calculate the LCM of 377, 169, 865, 416, 447?
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 377, 169, 865, 416, 447.
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}.