Find the LCM of 654, 322, 880, 883, 883 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 654, 322, 880, 883, 883. So, keep reading to learn more.
Given numbers are 654,322,880,883,883
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,322,880,883,883 is 40908824880.
Find LCM of 654,322,880,883,883 with Prime Factorization
2 | 654, 322, 880, 883, 883 |
883 | 327, 161, 440, 883, 883 |
327, 161, 440, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 883 x 327 x 161 x 440 x 1 x 1 = 40908824880
Therefore, the lowest common multiple of 654,322,880,883,883 is 40908824880.
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.
654 x 322 x 880 x 883 x 883 = 144489969476160
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
322 : 1, 2, 7, 14, 23, 46, 161, 322
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
883 : 1, 883
883 : 1, 883
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,322,880,883,883, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
322:2x 7x 23
880:2x 2x 2x 2x 5x 11
883:883
883:883
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 883 = 3532
Therefore, the value for common factors is 3532.
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 = 144489969476160/(1x3532)
LCM = 144489969476160/3532
LCM = 40908824880
Thus, we can understand that the LCM of 654,322,880,883,883 is 40908824880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 654, 322, 880, 883, 883?
Answer: LCM of 654, 322, 880, 883, 883 is 40908824880.
2. How to calculate the LCM of 654, 322, 880, 883, 883?
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 654, 322, 880, 883, 883.
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}.