LCM of 821, 299, 821, 702, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 299, 821, 702, 814 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 821, 299, 821, 702, 814. So, keep reading to learn more.
Given numbers are 821,299,821,702,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,299,821,702,814 is 5395137462.
Find LCM of 821,299,821,702,814 with Prime Factorization
| 2 | 821, 299, 821, 702, 814 |
| 13 | 821, 299, 821, 351, 407 |
| 821 | 821, 23, 821, 27, 407 |
| 1, 23, 1, 27, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 821 x 1 x 23 x 1 x 27 x 407 = 5395137462
Therefore, the lowest common multiple of 821,299,821,702,814 is 5395137462.
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.
821 x 299 x 821 x 702 x 814 = 115164604263852
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.
821 : 1, 821
299 : 1, 13, 23, 299
821 : 1, 821
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,299,821,702,814, is 1.
Now, the common factors can be found like this.
821:821
299:13x 23
821:821
702:2x 3x 3x 3x 13
814:2x 11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 821 = 21346
Therefore, the value for common factors is 21346.
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 = 115164604263852/(1x21346)
LCM = 115164604263852/21346
LCM = 5395137462
Thus, we can understand that the LCM of 821,299,821,702,814 is 5395137462.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 821, 299, 821, 702, 814
1. What is the LCM of 821, 299, 821, 702, 814?
Answer: LCM of 821, 299, 821, 702, 814 is 5395137462.
2. How to calculate the LCM of 821, 299, 821, 702, 814?
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 821, 299, 821, 702, 814.
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}.