Find the LCM of 893, 256, 983, 921, 824 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 893, 256, 983, 921, 824. So, keep reading to learn more.
Given numbers are 893,256,983,921,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,256,983,921,824 is 21317771212032.
Find LCM of 893,256,983,921,824 with Prime Factorization
2 | 893, 256, 983, 921, 824 |
2 | 893, 128, 983, 921, 412 |
2 | 893, 64, 983, 921, 206 |
893, 32, 983, 921, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 893 x 32 x 983 x 921 x 103 = 21317771212032
Therefore, the lowest common multiple of 893,256,983,921,824 is 21317771212032.
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.
893 x 256 x 983 x 921 x 824 = 170542169696256
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.
893 : 1, 19, 47, 893
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
983 : 1, 983
921 : 1, 3, 307, 921
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,256,983,921,824, is 1.
Now, the common factors can be found like this.
893:19x 47
256:2x 2x 2x 2x 2x 2x 2x 2
983:983
921:3x 307
824:2x 2x 2x 103
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 2 = 8
Therefore, the value for common factors is 8.
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 = 170542169696256/(1x8)
LCM = 170542169696256/8
LCM = 21317771212032
Thus, we can understand that the LCM of 893,256,983,921,824 is 21317771212032.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 893, 256, 983, 921, 824?
Answer: LCM of 893, 256, 983, 921, 824 is 21317771212032.
2. How to calculate the LCM of 893, 256, 983, 921, 824?
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 893, 256, 983, 921, 824.
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}.