Find the LCM of 655, 939, 962, 512, 918 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 655, 939, 962, 512, 918. So, keep reading to learn more.
Given numbers are 655,939,962,512,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,939,962,512,918 is 23174659422720.
Find LCM of 655,939,962,512,918 with Prime Factorization
2 | 655, 939, 962, 512, 918 |
3 | 655, 939, 481, 256, 459 |
655, 313, 481, 256, 153 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 655 x 313 x 481 x 256 x 153 = 23174659422720
Therefore, the lowest common multiple of 655,939,962,512,918 is 23174659422720.
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.
655 x 939 x 962 x 512 x 918 = 278095913072640
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.
655 : 1, 5, 131, 655
939 : 1, 3, 313, 939
962 : 1, 2, 13, 26, 37, 74, 481, 962
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,939,962,512,918, is 1.
Now, the common factors can be found like this.
655:5x 131
939:3x 313
962:2x 13x 37
512:2x 2x 2x 2x 2x 2x 2x 2x 2
918:2x 3x 3x 3x 17
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 3 = 12
Therefore, the value for common factors is 12.
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 = 278095913072640/(1x12)
LCM = 278095913072640/12
LCM = 23174659422720
Thus, we can understand that the LCM of 655,939,962,512,918 is 23174659422720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 655, 939, 962, 512, 918?
Answer: LCM of 655, 939, 962, 512, 918 is 23174659422720.
2. How to calculate the LCM of 655, 939, 962, 512, 918?
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 655, 939, 962, 512, 918.
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}.