Find the LCM of 964, 874, 874, 505, 910 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 964, 874, 874, 505, 910. So, keep reading to learn more.
Given numbers are 964,874,874,505,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,874,874,505,910 is 19359370940.
Find LCM of 964,874,874,505,910 with Prime Factorization
2 | 964, 874, 874, 505, 910 |
5 | 482, 437, 437, 505, 455 |
19 | 482, 437, 437, 101, 91 |
23 | 482, 23, 23, 101, 91 |
482, 1, 1, 101, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 23 x 482 x 1 x 1 x 101 x 91 = 19359370940
Therefore, the lowest common multiple of 964,874,874,505,910 is 19359370940.
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.
964 x 874 x 874 x 505 x 910 = 338401804031200
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.
964 : 1, 2, 4, 241, 482, 964
874 : 1, 2, 19, 23, 38, 46, 437, 874
874 : 1, 2, 19, 23, 38, 46, 437, 874
505 : 1, 5, 101, 505
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,874,874,505,910, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
874:2x 19x 23
874:2x 19x 23
505:5x 101
910:2x 5x 7x 13
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 2x 5x 19x 23 = 17480
Therefore, the value for common factors is 17480.
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 = 338401804031200/(1x17480)
LCM = 338401804031200/17480
LCM = 19359370940
Thus, we can understand that the LCM of 964,874,874,505,910 is 19359370940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 874, 874, 505, 910?
Answer: LCM of 964, 874, 874, 505, 910 is 19359370940.
2. How to calculate the LCM of 964, 874, 874, 505, 910?
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 964, 874, 874, 505, 910.
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}.