Find the LCM of 972, 913, 415, 846 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, 913, 415, 846. So, keep reading to learn more.
Given numbers are 972,913,415,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,913,415,846 is 208547460.
Find LCM of 972,913,415,846 with Prime Factorization
2 | 972, 913, 415, 846 |
3 | 486, 913, 415, 423 |
3 | 162, 913, 415, 141 |
83 | 54, 913, 415, 47 |
54, 11, 5, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 83 x 54 x 11 x 5 x 47 = 208547460
Therefore, the lowest common multiple of 972,913,415,846 is 208547460.
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 913 x 415 x 846 = 311569905240
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
913 : 1, 11, 83, 913
415 : 1, 5, 83, 415
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,913,415,846, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
913:11x 83
415:5x 83
846:2x 3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 83 = 1494
Therefore, the value for common factors is 1494.
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 = 311569905240/(1x1494)
LCM = 311569905240/1494
LCM = 208547460
Thus, we can understand that the LCM of 972,913,415,846 is 208547460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 913, 415, 846?
Answer: LCM of 972, 913, 415, 846 is 208547460.
2. How to calculate the LCM of 972, 913, 415, 846?
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, 913, 415, 846.
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}.