Find the LCM of 964, 596, 292, 324, 672 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, 596, 292, 324, 672. So, keep reading to learn more.
Given numbers are 964,596,292,324,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,596,292,324,672 is 47561901408.
Find LCM of 964,596,292,324,672 with Prime Factorization
2 | 964, 596, 292, 324, 672 |
2 | 482, 298, 146, 162, 336 |
3 | 241, 149, 73, 81, 168 |
241, 149, 73, 27, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 241 x 149 x 73 x 27 x 56 = 47561901408
Therefore, the lowest common multiple of 964,596,292,324,672 is 47561901408.
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 596 x 292 x 324 x 672 = 36527540281344
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
596 : 1, 2, 4, 149, 298, 596
292 : 1, 2, 4, 73, 146, 292
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,596,292,324,672, is 4.
Now, the common factors can be found like this.
964:2x 2x 241
596:2x 2x 149
292:2x 2x 73
324:2x 2x 3x 3x 3x 3
672:2x 2x 2x 2x 2x 3x 7
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 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 36527540281344/(4x192)
LCM = 36527540281344/768
LCM = 47561901408
Thus, we can understand that the LCM of 964,596,292,324,672 is 47561901408.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 596, 292, 324, 672?
Answer: LCM of 964, 596, 292, 324, 672 is 47561901408.
2. How to calculate the LCM of 964, 596, 292, 324, 672?
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, 596, 292, 324, 672.
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}.