LCM of 678, 300, 882, 406, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 300, 882, 406, 899 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 678, 300, 882, 406, 899. So, keep reading to learn more.
Given numbers are 678,300,882,406,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,300,882,406,899 is 4479986700.
Find LCM of 678,300,882,406,899 with Prime Factorization
| 2 | 678, 300, 882, 406, 899 |
| 3 | 339, 150, 441, 203, 899 |
| 7 | 113, 50, 147, 203, 899 |
| 29 | 113, 50, 21, 29, 899 |
| 113, 50, 21, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 29 x 113 x 50 x 21 x 1 x 31 = 4479986700
Therefore, the lowest common multiple of 678,300,882,406,899 is 4479986700.
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.
678 x 300 x 882 x 406 x 899 = 65479485607200
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
406 : 1, 2, 7, 14, 29, 58, 203, 406
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,300,882,406,899, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
300:2x 2x 3x 5x 5
882:2x 3x 3x 7x 7
406:2x 7x 29
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 7x 29 = 14616
Therefore, the value for common factors is 14616.
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 = 65479485607200/(1x14616)
LCM = 65479485607200/14616
LCM = 4479986700
Thus, we can understand that the LCM of 678,300,882,406,899 is 4479986700.
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FAQs on LCM of 678, 300, 882, 406, 899
1. What is the LCM of 678, 300, 882, 406, 899?
Answer: LCM of 678, 300, 882, 406, 899 is 4479986700.
2. How to calculate the LCM of 678, 300, 882, 406, 899?
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 678, 300, 882, 406, 899.
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}.