Find the LCM of 962, 988, 605, 325, 658 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 962, 988, 605, 325, 658. So, keep reading to learn more.
Given numbers are 962,988,605,325,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,988,605,325,658 is 36381445100.
Find LCM of 962,988,605,325,658 with Prime Factorization
2 | 962, 988, 605, 325, 658 |
5 | 481, 494, 605, 325, 329 |
13 | 481, 494, 121, 65, 329 |
37, 38, 121, 5, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 37 x 38 x 121 x 5 x 329 = 36381445100
Therefore, the lowest common multiple of 962,988,605,325,658 is 36381445100.
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.
962 x 988 x 605 x 325 x 658 = 122969284438000
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
605 : 1, 5, 11, 55, 121, 605
325 : 1, 5, 13, 25, 65, 325
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,988,605,325,658, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
988:2x 2x 13x 19
605:5x 11x 11
325:5x 5x 13
658:2x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 13x 13 = 3380
Therefore, the value for common factors is 3380.
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 = 122969284438000/(1x3380)
LCM = 122969284438000/3380
LCM = 36381445100
Thus, we can understand that the LCM of 962,988,605,325,658 is 36381445100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 962, 988, 605, 325, 658?
Answer: LCM of 962, 988, 605, 325, 658 is 36381445100.
2. How to calculate the LCM of 962, 988, 605, 325, 658?
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 962, 988, 605, 325, 658.
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}.