Find the LCM of 469, 327, 989, 109, 508 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 469, 327, 989, 109, 508. So, keep reading to learn more.
Given numbers are 469,327,989,109,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,327,989,109,508 is 77051411556.
Find LCM of 469,327,989,109,508 with Prime Factorization
109 | 469, 327, 989, 109, 508 |
469, 3, 989, 1, 508 |
Multiply the prime numbers at the bottom and the left side.
109 x 469 x 3 x 989 x 1 x 508 = 77051411556
Therefore, the lowest common multiple of 469,327,989,109,508 is 77051411556.
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.
469 x 327 x 989 x 109 x 508 = 8398603859604
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.
469 : 1, 7, 67, 469
327 : 1, 3, 109, 327
989 : 1, 23, 43, 989
109 : 1, 109
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,327,989,109,508, is 1.
Now, the common factors can be found like this.
469:7x 67
327:3x 109
989:23x 43
109:109
508:2x 2x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
109 = 109
Therefore, the value for common factors is 109.
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 = 8398603859604/(1x109)
LCM = 8398603859604/109
LCM = 77051411556
Thus, we can understand that the LCM of 469,327,989,109,508 is 77051411556.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 327, 989, 109, 508?
Answer: LCM of 469, 327, 989, 109, 508 is 77051411556.
2. How to calculate the LCM of 469, 327, 989, 109, 508?
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 469, 327, 989, 109, 508.
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}.