LCM of 964, 518, 333, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 518, 333, 333 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, 518, 333, 333. So, keep reading to learn more.
Given numbers are 964,518,333,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,518,333,333 is 2247084.
Find LCM of 964,518,333,333 with Prime Factorization
| 2 | 964, 518, 333, 333 |
| 3 | 482, 259, 333, 333 |
| 3 | 482, 259, 111, 111 |
| 37 | 482, 259, 37, 37 |
| 482, 7, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 37 x 482 x 7 x 1 x 1 = 2247084
Therefore, the lowest common multiple of 964,518,333,333 is 2247084.
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 518 x 333 x 333 = 55372643928
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
518 : 1, 2, 7, 14, 37, 74, 259, 518
333 : 1, 3, 9, 37, 111, 333
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,518,333,333, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
518:2x 7x 37
333:3x 3x 37
333:3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 37x 37 = 24642
Therefore, the value for common factors is 24642.
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 = 55372643928/(1x24642)
LCM = 55372643928/24642
LCM = 2247084
Thus, we can understand that the LCM of 964,518,333,333 is 2247084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 518, 333, 333
1. What is the LCM of 964, 518, 333, 333?
Answer: LCM of 964, 518, 333, 333 is 2247084.
2. How to calculate the LCM of 964, 518, 333, 333?
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, 518, 333, 333.
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}.