LCM of 821, 524, 962, 888, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 524, 962, 888, 923 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, 524, 962, 888, 923. So, keep reading to learn more.
Given numbers are 821,524,962,888,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,524,962,888,923 is 88151380824.
Find LCM of 821,524,962,888,923 with Prime Factorization
| 2 | 821, 524, 962, 888, 923 |
| 2 | 821, 262, 481, 444, 923 |
| 13 | 821, 131, 481, 222, 923 |
| 37 | 821, 131, 37, 222, 71 |
| 821, 131, 1, 6, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 37 x 821 x 131 x 1 x 6 x 71 = 88151380824
Therefore, the lowest common multiple of 821,524,962,888,923 is 88151380824.
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 524 x 962 x 888 x 923 = 339206513410752
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
524 : 1, 2, 4, 131, 262, 524
962 : 1, 2, 13, 26, 37, 74, 481, 962
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,524,962,888,923, is 1.
Now, the common factors can be found like this.
821:821
524:2x 2x 131
962:2x 13x 37
888:2x 2x 2x 3x 37
923:13x 71
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 13x 37 = 3848
Therefore, the value for common factors is 3848.
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 = 339206513410752/(1x3848)
LCM = 339206513410752/3848
LCM = 88151380824
Thus, we can understand that the LCM of 821,524,962,888,923 is 88151380824.
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FAQs on LCM of 821, 524, 962, 888, 923
1. What is the LCM of 821, 524, 962, 888, 923?
Answer: LCM of 821, 524, 962, 888, 923 is 88151380824.
2. How to calculate the LCM of 821, 524, 962, 888, 923?
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, 524, 962, 888, 923.
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}.