LCM of 660, 825, 807, 322, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 660, 825, 807, 322, 849 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 660, 825, 807, 322, 849. So, keep reading to learn more.
Given numbers are 660,825,807,322,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,825,807,322,849 is 40446275100.
Find LCM of 660,825,807,322,849 with Prime Factorization
| 2 | 660, 825, 807, 322, 849 |
| 3 | 330, 825, 807, 161, 849 |
| 5 | 110, 275, 269, 161, 283 |
| 11 | 22, 55, 269, 161, 283 |
| 2, 5, 269, 161, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 2 x 5 x 269 x 161 x 283 = 40446275100
Therefore, the lowest common multiple of 660,825,807,322,849 is 40446275100.
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.
660 x 825 x 807 x 322 x 849 = 120125437047000
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
807 : 1, 3, 269, 807
322 : 1, 2, 7, 14, 23, 46, 161, 322
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,825,807,322,849, is 1.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
825:3x 5x 5x 11
807:3x 269
322:2x 7x 23
849:3x 283
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 3x 3x 5x 11 = 2970
Therefore, the value for common factors is 2970.
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 = 120125437047000/(1x2970)
LCM = 120125437047000/2970
LCM = 40446275100
Thus, we can understand that the LCM of 660,825,807,322,849 is 40446275100.
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FAQs on LCM of 660, 825, 807, 322, 849
1. What is the LCM of 660, 825, 807, 322, 849?
Answer: LCM of 660, 825, 807, 322, 849 is 40446275100.
2. How to calculate the LCM of 660, 825, 807, 322, 849?
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 660, 825, 807, 322, 849.
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}.