Find the LCM of 930, 922, 963, 144 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 930, 922, 963, 144. So, keep reading to learn more.
Given numbers are 930,922,963,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,922,963,144 is 1100978640.
Find LCM of 930,922,963,144 with Prime Factorization
2 | 930, 922, 963, 144 |
3 | 465, 461, 963, 72 |
3 | 155, 461, 321, 24 |
155, 461, 107, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 155 x 461 x 107 x 8 = 1100978640
Therefore, the lowest common multiple of 930,922,963,144 is 1100978640.
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.
930 x 922 x 963 x 144 = 118905693120
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
922 : 1, 2, 461, 922
963 : 1, 3, 9, 107, 321, 963
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,922,963,144, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
922:2x 461
963:3x 3x 107
144:2x 2x 2x 2x 3x 3
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 118905693120/(1x108)
LCM = 118905693120/108
LCM = 1100978640
Thus, we can understand that the LCM of 930,922,963,144 is 1100978640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 930, 922, 963, 144?
Answer: LCM of 930, 922, 963, 144 is 1100978640.
2. How to calculate the LCM of 930, 922, 963, 144?
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 930, 922, 963, 144.
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}.