Find the LCM of 922, 317, 634, 644 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 922, 317, 634, 644. So, keep reading to learn more.
Given numbers are 922,317,634,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,317,634,644 is 94112228.
Find LCM of 922,317,634,644 with Prime Factorization
2 | 922, 317, 634, 644 |
317 | 461, 317, 317, 322 |
461, 1, 1, 322 |
Multiply the prime numbers at the bottom and the left side.
2 x 317 x 461 x 1 x 1 x 322 = 94112228
Therefore, the lowest common multiple of 922,317,634,644 is 94112228.
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.
922 x 317 x 634 x 644 = 119334305104
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.
922 : 1, 2, 461, 922
317 : 1, 317
634 : 1, 2, 317, 634
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,317,634,644, is 1.
Now, the common factors can be found like this.
922:2x 461
317:317
634:2x 317
644:2x 2x 7x 23
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 317 = 1268
Therefore, the value for common factors is 1268.
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 = 119334305104/(1x1268)
LCM = 119334305104/1268
LCM = 94112228
Thus, we can understand that the LCM of 922,317,634,644 is 94112228.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 922, 317, 634, 644?
Answer: LCM of 922, 317, 634, 644 is 94112228.
2. How to calculate the LCM of 922, 317, 634, 644?
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 922, 317, 634, 644.
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}.