LCM of 725, 989, 387, 756, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 989, 387, 756, 198 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 725, 989, 387, 756, 198. So, keep reading to learn more.
Given numbers are 725,989,387,756,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,989,387,756,198 is 5962779900.
Find LCM of 725,989,387,756,198 with Prime Factorization
| 2 | 725, 989, 387, 756, 198 |
| 3 | 725, 989, 387, 378, 99 |
| 3 | 725, 989, 129, 126, 33 |
| 43 | 725, 989, 43, 42, 11 |
| 725, 23, 1, 42, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 43 x 725 x 23 x 1 x 42 x 11 = 5962779900
Therefore, the lowest common multiple of 725,989,387,756,198 is 5962779900.
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.
725 x 989 x 387 x 756 x 198 = 41536724783400
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.
725 : 1, 5, 25, 29, 145, 725
989 : 1, 23, 43, 989
387 : 1, 3, 9, 43, 129, 387
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
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,989,387,756,198, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
989:23x 43
387:3x 3x 43
756:2x 2x 3x 3x 3x 7
198:2x 3x 3x 11
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 3x 3x 43 = 6966
Therefore, the value for common factors is 6966.
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 = 41536724783400/(1x6966)
LCM = 41536724783400/6966
LCM = 5962779900
Thus, we can understand that the LCM of 725,989,387,756,198 is 5962779900.
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FAQs on LCM of 725, 989, 387, 756, 198
1. What is the LCM of 725, 989, 387, 756, 198?
Answer: LCM of 725, 989, 387, 756, 198 is 5962779900.
2. How to calculate the LCM of 725, 989, 387, 756, 198?
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 725, 989, 387, 756, 198.
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}.