Find the LCM of 251, 695, 108, 973 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 251, 695, 108, 973. So, keep reading to learn more.
Given numbers are 251,695,108,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,695,108,973 is 131880420.
Find LCM of 251,695,108,973 with Prime Factorization
139 | 251, 695, 108, 973 |
251, 5, 108, 7 |
Multiply the prime numbers at the bottom and the left side.
139 x 251 x 5 x 108 x 7 = 131880420
Therefore, the lowest common multiple of 251,695,108,973 is 131880420.
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.
251 x 695 x 108 x 973 = 18331378380
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.
251 : 1, 251
695 : 1, 5, 139, 695
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,695,108,973, is 1.
Now, the common factors can be found like this.
251:251
695:5x 139
108:2x 2x 3x 3x 3
973:7x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
139 = 139
Therefore, the value for common factors is 139.
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 = 18331378380/(1x139)
LCM = 18331378380/139
LCM = 131880420
Thus, we can understand that the LCM of 251,695,108,973 is 131880420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 251, 695, 108, 973?
Answer: LCM of 251, 695, 108, 973 is 131880420.
2. How to calculate the LCM of 251, 695, 108, 973?
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 251, 695, 108, 973.
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}.