LCM of 927, 824, 855, 592, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 824, 855, 592, 921 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 927, 824, 855, 592, 921. So, keep reading to learn more.
Given numbers are 927,824,855,592,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,824,855,592,921 is 16005285360.
Find LCM of 927,824,855,592,921 with Prime Factorization
| 2 | 927, 824, 855, 592, 921 |
| 2 | 927, 412, 855, 296, 921 |
| 2 | 927, 206, 855, 148, 921 |
| 3 | 927, 103, 855, 74, 921 |
| 3 | 309, 103, 285, 74, 307 |
| 103 | 103, 103, 95, 74, 307 |
| 1, 1, 95, 74, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 103 x 1 x 1 x 95 x 74 x 307 = 16005285360
Therefore, the lowest common multiple of 927,824,855,592,921 is 16005285360.
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.
927 x 824 x 855 x 592 x 921 = 356085588689280
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.
927 : 1, 3, 9, 103, 309, 927
824 : 1, 2, 4, 8, 103, 206, 412, 824
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,824,855,592,921, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
824:2x 2x 2x 103
855:3x 3x 5x 19
592:2x 2x 2x 2x 37
921:3x 307
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 3x 103 = 22248
Therefore, the value for common factors is 22248.
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 = 356085588689280/(1x22248)
LCM = 356085588689280/22248
LCM = 16005285360
Thus, we can understand that the LCM of 927,824,855,592,921 is 16005285360.
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FAQs on LCM of 927, 824, 855, 592, 921
1. What is the LCM of 927, 824, 855, 592, 921?
Answer: LCM of 927, 824, 855, 592, 921 is 16005285360.
2. How to calculate the LCM of 927, 824, 855, 592, 921?
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 927, 824, 855, 592, 921.
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}.