Find the LCM of 953, 407, 559, 962, 122 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 953, 407, 559, 962, 122. So, keep reading to learn more.
Given numbers are 953,407,559,962,122
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,407,559,962,122 is 26452026458.
Find LCM of 953,407,559,962,122 with Prime Factorization
2 | 953, 407, 559, 962, 122 |
13 | 953, 407, 559, 481, 61 |
37 | 953, 407, 43, 37, 61 |
953, 11, 43, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 37 x 953 x 11 x 43 x 1 x 61 = 26452026458
Therefore, the lowest common multiple of 953,407,559,962,122 is 26452026458.
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.
953 x 407 x 559 x 962 x 122 = 25446849452596
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.
953 : 1, 953
407 : 1, 11, 37, 407
559 : 1, 13, 43, 559
962 : 1, 2, 13, 26, 37, 74, 481, 962
122 : 1, 2, 61, 122
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,407,559,962,122, is 1.
Now, the common factors can be found like this.
953:953
407:11x 37
559:13x 43
962:2x 13x 37
122:2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 37 = 962
Therefore, the value for common factors is 962.
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 = 25446849452596/(1x962)
LCM = 25446849452596/962
LCM = 26452026458
Thus, we can understand that the LCM of 953,407,559,962,122 is 26452026458.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 953, 407, 559, 962, 122?
Answer: LCM of 953, 407, 559, 962, 122 is 26452026458.
2. How to calculate the LCM of 953, 407, 559, 962, 122?
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 953, 407, 559, 962, 122.
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}.