LCM of 899, 723, 828, 379, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 899, 723, 828, 379, 546 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 899, 723, 828, 379, 546. So, keep reading to learn more.
Given numbers are 899,723,828,379,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,723,828,379,546 is 6187107663828.
Find LCM of 899,723,828,379,546 with Prime Factorization
| 2 | 899, 723, 828, 379, 546 |
| 3 | 899, 723, 414, 379, 273 |
| 899, 241, 138, 379, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 899 x 241 x 138 x 379 x 91 = 6187107663828
Therefore, the lowest common multiple of 899,723,828,379,546 is 6187107663828.
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.
899 x 723 x 828 x 379 x 546 = 111367937948904
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.
899 : 1, 29, 31, 899
723 : 1, 3, 241, 723
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
379 : 1, 379
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,723,828,379,546, is 1.
Now, the common factors can be found like this.
899:29x 31
723:3x 241
828:2x 2x 3x 3x 23
379:379
546:2x 3x 7x 13
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 3 = 18
Therefore, the value for common factors is 18.
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 = 111367937948904/(1x18)
LCM = 111367937948904/18
LCM = 6187107663828
Thus, we can understand that the LCM of 899,723,828,379,546 is 6187107663828.
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FAQs on LCM of 899, 723, 828, 379, 546
1. What is the LCM of 899, 723, 828, 379, 546?
Answer: LCM of 899, 723, 828, 379, 546 is 6187107663828.
2. How to calculate the LCM of 899, 723, 828, 379, 546?
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 899, 723, 828, 379, 546.
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}.