Find the LCM of 288, 972, 516, 191, 921 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 288, 972, 516, 191, 921. So, keep reading to learn more.
Given numbers are 288,972,516,191,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,972,516,191,921 is 19606336416.
Find LCM of 288,972,516,191,921 with Prime Factorization
2 | 288, 972, 516, 191, 921 |
2 | 144, 486, 258, 191, 921 |
3 | 72, 243, 129, 191, 921 |
3 | 24, 81, 43, 191, 307 |
8, 27, 43, 191, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 8 x 27 x 43 x 191 x 307 = 19606336416
Therefore, the lowest common multiple of 288,972,516,191,921 is 19606336416.
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.
288 x 972 x 516 x 191 x 921 = 25409811995136
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
191 : 1, 191
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,972,516,191,921, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
972:2x 2x 3x 3x 3x 3x 3
516:2x 2x 3x 43
191:191
921:3x 307
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 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 25409811995136/(1x1296)
LCM = 25409811995136/1296
LCM = 19606336416
Thus, we can understand that the LCM of 288,972,516,191,921 is 19606336416.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 972, 516, 191, 921?
Answer: LCM of 288, 972, 516, 191, 921 is 19606336416.
2. How to calculate the LCM of 288, 972, 516, 191, 921?
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 288, 972, 516, 191, 921.
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}.