Find the LCM of 101, 241, 377, 165, 962 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 101, 241, 377, 165, 962. So, keep reading to learn more.
Given numbers are 101,241,377,165,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,241,377,165,962 is 112045760970.
Find LCM of 101,241,377,165,962 with Prime Factorization
13 | 101, 241, 377, 165, 962 |
101, 241, 29, 165, 74 |
Multiply the prime numbers at the bottom and the left side.
13 x 101 x 241 x 29 x 165 x 74 = 112045760970
Therefore, the lowest common multiple of 101,241,377,165,962 is 112045760970.
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.
101 x 241 x 377 x 165 x 962 = 1456594892610
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.
101 : 1, 101
241 : 1, 241
377 : 1, 13, 29, 377
165 : 1, 3, 5, 11, 15, 33, 55, 165
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,241,377,165,962, is 1.
Now, the common factors can be found like this.
101:101
241:241
377:13x 29
165:3x 5x 11
962:2x 13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 1456594892610/(1x13)
LCM = 1456594892610/13
LCM = 112045760970
Thus, we can understand that the LCM of 101,241,377,165,962 is 112045760970.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 101, 241, 377, 165, 962?
Answer: LCM of 101, 241, 377, 165, 962 is 112045760970.
2. How to calculate the LCM of 101, 241, 377, 165, 962?
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 101, 241, 377, 165, 962.
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}.