LCM of 828, 314, 644, 450, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 314, 644, 450, 982 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 828, 314, 644, 450, 982. So, keep reading to learn more.
Given numbers are 828,314,644,450,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,314,644,450,982 is 11169906300.
Find LCM of 828,314,644,450,982 with Prime Factorization
| 2 | 828, 314, 644, 450, 982 |
| 2 | 414, 157, 322, 225, 491 |
| 3 | 207, 157, 161, 225, 491 |
| 3 | 69, 157, 161, 75, 491 |
| 23 | 23, 157, 161, 25, 491 |
| 1, 157, 7, 25, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 1 x 157 x 7 x 25 x 491 = 11169906300
Therefore, the lowest common multiple of 828,314,644,450,982 is 11169906300.
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.
828 x 314 x 644 x 450 x 982 = 73989459331200
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
314 : 1, 2, 157, 314
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
982 : 1, 2, 491, 982
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,314,644,450,982, is 2.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
314:2x 157
644:2x 2x 7x 23
450:2x 3x 3x 5x 5
982:2x 491
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 2x 3x 3x 23 = 3312
Therefore, the value for common factors is 3312.
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 = 73989459331200/(2x3312)
LCM = 73989459331200/6624
LCM = 11169906300
Thus, we can understand that the LCM of 828,314,644,450,982 is 11169906300.
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FAQs on LCM of 828, 314, 644, 450, 982
1. What is the LCM of 828, 314, 644, 450, 982?
Answer: LCM of 828, 314, 644, 450, 982 is 11169906300.
2. How to calculate the LCM of 828, 314, 644, 450, 982?
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 828, 314, 644, 450, 982.
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}.