LCM of 767, 729, 413, 380, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 729, 413, 380, 490 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 767, 729, 413, 380, 490. So, keep reading to learn more.
Given numbers are 767,729,413,380,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,729,413,380,490 is 10411242660.
Find LCM of 767,729,413,380,490 with Prime Factorization
| 2 | 767, 729, 413, 380, 490 |
| 5 | 767, 729, 413, 190, 245 |
| 7 | 767, 729, 413, 38, 49 |
| 59 | 767, 729, 59, 38, 7 |
| 13, 729, 1, 38, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 59 x 13 x 729 x 1 x 38 x 7 = 10411242660
Therefore, the lowest common multiple of 767,729,413,380,490 is 10411242660.
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.
767 x 729 x 413 x 380 x 490 = 42998432185800
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.
767 : 1, 13, 59, 767
729 : 1, 3, 9, 27, 81, 243, 729
413 : 1, 7, 59, 413
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,729,413,380,490, is 1.
Now, the common factors can be found like this.
767:13x 59
729:3x 3x 3x 3x 3x 3
413:7x 59
380:2x 2x 5x 19
490:2x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 59 = 4130
Therefore, the value for common factors is 4130.
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 = 42998432185800/(1x4130)
LCM = 42998432185800/4130
LCM = 10411242660
Thus, we can understand that the LCM of 767,729,413,380,490 is 10411242660.
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FAQs on LCM of 767, 729, 413, 380, 490
1. What is the LCM of 767, 729, 413, 380, 490?
Answer: LCM of 767, 729, 413, 380, 490 is 10411242660.
2. How to calculate the LCM of 767, 729, 413, 380, 490?
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 767, 729, 413, 380, 490.
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}.