Find the LCM of 718, 360, 962, 871, 464 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 718, 360, 962, 871, 464. So, keep reading to learn more.
Given numbers are 718,360,962,871,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,360,962,871,464 is 241571013840.
Find LCM of 718,360,962,871,464 with Prime Factorization
2 | 718, 360, 962, 871, 464 |
2 | 359, 180, 481, 871, 232 |
2 | 359, 90, 481, 871, 116 |
13 | 359, 45, 481, 871, 58 |
359, 45, 37, 67, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 359 x 45 x 37 x 67 x 58 = 241571013840
Therefore, the lowest common multiple of 718,360,962,871,464 is 241571013840.
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.
718 x 360 x 962 x 871 x 464 = 100493541757440
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.
718 : 1, 2, 359, 718
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
962 : 1, 2, 13, 26, 37, 74, 481, 962
871 : 1, 13, 67, 871
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,360,962,871,464, is 1.
Now, the common factors can be found like this.
718:2x 359
360:2x 2x 2x 3x 3x 5
962:2x 13x 37
871:13x 67
464:2x 2x 2x 2x 29
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 2x 2x 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 100493541757440/(1x416)
LCM = 100493541757440/416
LCM = 241571013840
Thus, we can understand that the LCM of 718,360,962,871,464 is 241571013840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 718, 360, 962, 871, 464?
Answer: LCM of 718, 360, 962, 871, 464 is 241571013840.
2. How to calculate the LCM of 718, 360, 962, 871, 464?
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 718, 360, 962, 871, 464.
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}.