Find the LCM of 989, 756, 377, 614, 885 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 989, 756, 377, 614, 885. So, keep reading to learn more.
Given numbers are 989,756,377,614,885
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,756,377,614,885 is 25528178550420.
Find LCM of 989,756,377,614,885 with Prime Factorization
2 | 989, 756, 377, 614, 885 |
3 | 989, 378, 377, 307, 885 |
989, 126, 377, 307, 295 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 989 x 126 x 377 x 307 x 295 = 25528178550420
Therefore, the lowest common multiple of 989,756,377,614,885 is 25528178550420.
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.
989 x 756 x 377 x 614 x 885 = 153169071302520
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.
989 : 1, 23, 43, 989
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
377 : 1, 13, 29, 377
614 : 1, 2, 307, 614
885 : 1, 3, 5, 15, 59, 177, 295, 885
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,756,377,614,885, is 1.
Now, the common factors can be found like this.
989:23x 43
756:2x 2x 3x 3x 3x 7
377:13x 29
614:2x 307
885:3x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 153169071302520/(1x6)
LCM = 153169071302520/6
LCM = 25528178550420
Thus, we can understand that the LCM of 989,756,377,614,885 is 25528178550420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 756, 377, 614, 885?
Answer: LCM of 989, 756, 377, 614, 885 is 25528178550420.
2. How to calculate the LCM of 989, 756, 377, 614, 885?
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 989, 756, 377, 614, 885.
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}.