Find the LCM of 962, 320, 327, 327, 929 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 962, 320, 327, 327, 929. So, keep reading to learn more.
Given numbers are 962,320,327,327,929
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,320,327,327,929 is 46758279360.
Find LCM of 962,320,327,327,929 with Prime Factorization
2 | 962, 320, 327, 327, 929 |
3 | 481, 160, 327, 327, 929 |
109 | 481, 160, 109, 109, 929 |
481, 160, 1, 1, 929 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 481 x 160 x 1 x 1 x 929 = 46758279360
Therefore, the lowest common multiple of 962,320,327,327,929 is 46758279360.
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.
962 x 320 x 327 x 327 x 929 = 30579914701440
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
327 : 1, 3, 109, 327
327 : 1, 3, 109, 327
929 : 1, 929
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,320,327,327,929, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
320:2x 2x 2x 2x 2x 2x 5
327:3x 109
327:3x 109
929:929
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 109 = 654
Therefore, the value for common factors is 654.
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 = 30579914701440/(1x654)
LCM = 30579914701440/654
LCM = 46758279360
Thus, we can understand that the LCM of 962,320,327,327,929 is 46758279360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 962, 320, 327, 327, 929?
Answer: LCM of 962, 320, 327, 327, 929 is 46758279360.
2. How to calculate the LCM of 962, 320, 327, 327, 929?
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 962, 320, 327, 327, 929.
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}.