Find the LCM of 972, 481, 632, 876, 874 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 972, 481, 632, 876, 874. So, keep reading to learn more.
Given numbers are 972,481,632,876,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,481,632,876,874 is 2356528656456.
Find LCM of 972,481,632,876,874 with Prime Factorization
2 | 972, 481, 632, 876, 874 |
2 | 486, 481, 316, 438, 437 |
3 | 243, 481, 158, 219, 437 |
81, 481, 158, 73, 437 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 81 x 481 x 158 x 73 x 437 = 2356528656456
Therefore, the lowest common multiple of 972,481,632,876,874 is 2356528656456.
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.
972 x 481 x 632 x 876 x 874 = 226226751019776
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
481 : 1, 13, 37, 481
632 : 1, 2, 4, 8, 79, 158, 316, 632
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,481,632,876,874, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
481:13x 37
632:2x 2x 2x 79
876:2x 2x 3x 73
874:2x 19x 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 2x 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 226226751019776/(1x96)
LCM = 226226751019776/96
LCM = 2356528656456
Thus, we can understand that the LCM of 972,481,632,876,874 is 2356528656456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 481, 632, 876, 874?
Answer: LCM of 972, 481, 632, 876, 874 is 2356528656456.
2. How to calculate the LCM of 972, 481, 632, 876, 874?
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 972, 481, 632, 876, 874.
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}.