LCM of 649, 729, 404, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 729, 404, 847 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 649, 729, 404, 847. So, keep reading to learn more.
Given numbers are 649,729,404,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,729,404,847 is 14717848068.
Find LCM of 649,729,404,847 with Prime Factorization
| 11 | 649, 729, 404, 847 |
| 59, 729, 404, 77 |
Multiply the prime numbers at the bottom and the left side.
11 x 59 x 729 x 404 x 77 = 14717848068
Therefore, the lowest common multiple of 649,729,404,847 is 14717848068.
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.
649 x 729 x 404 x 847 = 161896328748
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.
649 : 1, 11, 59, 649
729 : 1, 3, 9, 27, 81, 243, 729
404 : 1, 2, 4, 101, 202, 404
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,729,404,847, is 1.
Now, the common factors can be found like this.
649:11x 59
729:3x 3x 3x 3x 3x 3
404:2x 2x 101
847:7x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 161896328748/(1x11)
LCM = 161896328748/11
LCM = 14717848068
Thus, we can understand that the LCM of 649,729,404,847 is 14717848068.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 649, 729, 404, 847
1. What is the LCM of 649, 729, 404, 847?
Answer: LCM of 649, 729, 404, 847 is 14717848068.
2. How to calculate the LCM of 649, 729, 404, 847?
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 649, 729, 404, 847.
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}.