LCM of 964, 206, 502, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 206, 502, 824 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 964, 206, 502, 824. So, keep reading to learn more.
Given numbers are 964,206,502,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,206,502,824 is 49844584.
Find LCM of 964,206,502,824 with Prime Factorization
| 2 | 964, 206, 502, 824 |
| 2 | 482, 103, 251, 412 |
| 103 | 241, 103, 251, 206 |
| 241, 1, 251, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 103 x 241 x 1 x 251 x 2 = 49844584
Therefore, the lowest common multiple of 964,206,502,824 is 49844584.
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.
964 x 206 x 502 x 824 = 82143874432
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.
964 : 1, 2, 4, 241, 482, 964
206 : 1, 2, 103, 206
502 : 1, 2, 251, 502
824 : 1, 2, 4, 8, 103, 206, 412, 824
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,206,502,824, is 2.
Now, the common factors can be found like this.
964:2x 2x 241
206:2x 103
502:2x 251
824:2x 2x 2x 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 2x 103 = 824
Therefore, the value for common factors is 824.
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 = 82143874432/(2x824)
LCM = 82143874432/1648
LCM = 49844584
Thus, we can understand that the LCM of 964,206,502,824 is 49844584.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 206, 502, 824
1. What is the LCM of 964, 206, 502, 824?
Answer: LCM of 964, 206, 502, 824 is 49844584.
2. How to calculate the LCM of 964, 206, 502, 824?
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 964, 206, 502, 824.
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}.