LCM of 989, 240, 766, 387, 729
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 240, 766, 387, 729 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, 240, 766, 387, 729. So, keep reading to learn more.
Given numbers are 989,240,766,387,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,240,766,387,729 is 22090857840.
Find LCM of 989,240,766,387,729 with Prime Factorization
| 2 | 989, 240, 766, 387, 729 |
| 3 | 989, 120, 383, 387, 729 |
| 3 | 989, 40, 383, 129, 243 |
| 43 | 989, 40, 383, 43, 81 |
| 23, 40, 383, 1, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 43 x 23 x 40 x 383 x 1 x 81 = 22090857840
Therefore, the lowest common multiple of 989,240,766,387,729 is 22090857840.
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 240 x 766 x 387 x 729 = 51294971904480
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
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
766 : 1, 2, 383, 766
387 : 1, 3, 9, 43, 129, 387
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,240,766,387,729, is 1.
Now, the common factors can be found like this.
989:23x 43
240:2x 2x 2x 2x 3x 5
766:2x 383
387:3x 3x 43
729:3x 3x 3x 3x 3x 3
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 43 = 2322
Therefore, the value for common factors is 2322.
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 = 51294971904480/(1x2322)
LCM = 51294971904480/2322
LCM = 22090857840
Thus, we can understand that the LCM of 989,240,766,387,729 is 22090857840.
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FAQs on LCM of 989, 240, 766, 387, 729
1. What is the LCM of 989, 240, 766, 387, 729?
Answer: LCM of 989, 240, 766, 387, 729 is 22090857840.
2. How to calculate the LCM of 989, 240, 766, 387, 729?
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, 240, 766, 387, 729.
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}.