LCM of 801, 824, 277, 804, 927
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 801, 824, 277, 804, 927 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 801, 824, 277, 804, 927. So, keep reading to learn more.
Given numbers are 801,824,277,804,927
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 801,824,277,804,927 is 12249385416.
Find LCM of 801,824,277,804,927 with Prime Factorization
| 2 | 801, 824, 277, 804, 927 |
| 2 | 801, 412, 277, 402, 927 |
| 3 | 801, 206, 277, 201, 927 |
| 3 | 267, 206, 277, 67, 309 |
| 103 | 89, 206, 277, 67, 103 |
| 89, 2, 277, 67, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 103 x 89 x 2 x 277 x 67 x 1 = 12249385416
Therefore, the lowest common multiple of 801,824,277,804,927 is 12249385416.
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.
801 x 824 x 277 x 804 x 927 = 136262163367584
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.
801 : 1, 3, 9, 89, 267, 801
824 : 1, 2, 4, 8, 103, 206, 412, 824
277 : 1, 277
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
927 : 1, 3, 9, 103, 309, 927
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,824,277,804,927, is 1.
Now, the common factors can be found like this.
801:3x 3x 89
824:2x 2x 2x 103
277:277
804:2x 2x 3x 67
927:3x 3x 103
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 3x 3x 3x 103 = 11124
Therefore, the value for common factors is 11124.
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 = 136262163367584/(1x11124)
LCM = 136262163367584/11124
LCM = 12249385416
Thus, we can understand that the LCM of 801,824,277,804,927 is 12249385416.
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FAQs on LCM of 801, 824, 277, 804, 927
1. What is the LCM of 801, 824, 277, 804, 927?
Answer: LCM of 801, 824, 277, 804, 927 is 12249385416.
2. How to calculate the LCM of 801, 824, 277, 804, 927?
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 801, 824, 277, 804, 927.
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}.