Find the LCM of 288, 756, 722, 961, 930 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, 756, 722, 961, 930. So, keep reading to learn more.
Given numbers are 288,756,722,961,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,756,722,961,930 is 10490891040.
Find LCM of 288,756,722,961,930 with Prime Factorization
2 | 288, 756, 722, 961, 930 |
2 | 144, 378, 361, 961, 465 |
3 | 72, 189, 361, 961, 465 |
3 | 24, 63, 361, 961, 155 |
31 | 8, 21, 361, 961, 155 |
8, 21, 361, 31, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 31 x 8 x 21 x 361 x 31 x 5 = 10490891040
Therefore, the lowest common multiple of 288,756,722,961,930 is 10490891040.
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 756 x 722 x 961 x 930 = 140494012807680
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
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
722 : 1, 2, 19, 38, 361, 722
961 : 1, 31, 961
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,756,722,961,930, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
756:2x 2x 3x 3x 3x 7
722:2x 19x 19
961:31x 31
930:2x 3x 5x 31
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 31 = 13392
Therefore, the value for common factors is 13392.
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 = 140494012807680/(1x13392)
LCM = 140494012807680/13392
LCM = 10490891040
Thus, we can understand that the LCM of 288,756,722,961,930 is 10490891040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 756, 722, 961, 930?
Answer: LCM of 288, 756, 722, 961, 930 is 10490891040.
2. How to calculate the LCM of 288, 756, 722, 961, 930?
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, 756, 722, 961, 930.
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}.