LCM of 964, 446, 249, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 446, 249, 996 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, 446, 249, 996. So, keep reading to learn more.
Given numbers are 964,446,249,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,446,249,996 is 53528028.
Find LCM of 964,446,249,996 with Prime Factorization
| 2 | 964, 446, 249, 996 |
| 2 | 482, 223, 249, 498 |
| 3 | 241, 223, 249, 249 |
| 83 | 241, 223, 83, 83 |
| 241, 223, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 241 x 223 x 1 x 1 = 53528028
Therefore, the lowest common multiple of 964,446,249,996 is 53528028.
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 446 x 249 x 996 = 106627831776
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
446 : 1, 2, 223, 446
249 : 1, 3, 83, 249
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,446,249,996, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
446:2x 223
249:3x 83
996:2x 2x 3x 83
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 83 = 1992
Therefore, the value for common factors is 1992.
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 = 106627831776/(1x1992)
LCM = 106627831776/1992
LCM = 53528028
Thus, we can understand that the LCM of 964,446,249,996 is 53528028.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 446, 249, 996
1. What is the LCM of 964, 446, 249, 996?
Answer: LCM of 964, 446, 249, 996 is 53528028.
2. How to calculate the LCM of 964, 446, 249, 996?
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, 446, 249, 996.
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}.