Find the LCM of 642, 922, 644, 925 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 642, 922, 644, 925. So, keep reading to learn more.
Given numbers are 642,922,644,925
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,922,644,925 is 88152281700.
Find LCM of 642,922,644,925 with Prime Factorization
2 | 642, 922, 644, 925 |
321, 461, 322, 925 |
Multiply the prime numbers at the bottom and the left side.
2 x 321 x 461 x 322 x 925 = 88152281700
Therefore, the lowest common multiple of 642,922,644,925 is 88152281700.
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.
642 x 922 x 644 x 925 = 352609126800
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
922 : 1, 2, 461, 922
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
925 : 1, 5, 25, 37, 185, 925
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,922,644,925, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
922:2x 461
644:2x 2x 7x 23
925:5x 5x 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 2 = 4
Therefore, the value for common factors is 4.
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 = 352609126800/(1x4)
LCM = 352609126800/4
LCM = 88152281700
Thus, we can understand that the LCM of 642,922,644,925 is 88152281700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 922, 644, 925?
Answer: LCM of 642, 922, 644, 925 is 88152281700.
2. How to calculate the LCM of 642, 922, 644, 925?
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 642, 922, 644, 925.
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}.