Find the LCM of 165, 347, 116, 517, 377 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 165, 347, 116, 517, 377. So, keep reading to learn more.
Given numbers are 165,347,116,517,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,347,116,517,377 is 4058005380.
Find LCM of 165,347,116,517,377 with Prime Factorization
11 | 165, 347, 116, 517, 377 |
29 | 15, 347, 116, 47, 377 |
15, 347, 4, 47, 13 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 15 x 347 x 4 x 47 x 13 = 4058005380
Therefore, the lowest common multiple of 165,347,116,517,377 is 4058005380.
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.
165 x 347 x 116 x 517 x 377 = 1294503716220
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
347 : 1, 347
116 : 1, 2, 4, 29, 58, 116
517 : 1, 11, 47, 517
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,347,116,517,377, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
347:347
116:2x 2x 29
517:11x 47
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 29 = 319
Therefore, the value for common factors is 319.
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 = 1294503716220/(1x319)
LCM = 1294503716220/319
LCM = 4058005380
Thus, we can understand that the LCM of 165,347,116,517,377 is 4058005380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 165, 347, 116, 517, 377?
Answer: LCM of 165, 347, 116, 517, 377 is 4058005380.
2. How to calculate the LCM of 165, 347, 116, 517, 377?
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 165, 347, 116, 517, 377.
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}.