Find the LCM of 814, 777, 925, 157, 415 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 814, 777, 925, 157, 415. So, keep reading to learn more.
Given numbers are 814,777,925,157,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,777,925,157,415 is 5568797850.
Find LCM of 814,777,925,157,415 with Prime Factorization
5 | 814, 777, 925, 157, 415 |
37 | 814, 777, 185, 157, 83 |
22, 21, 5, 157, 83 |
Multiply the prime numbers at the bottom and the left side.
5 x 37 x 22 x 21 x 5 x 157 x 83 = 5568797850
Therefore, the lowest common multiple of 814,777,925,157,415 is 5568797850.
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.
814 x 777 x 925 x 157 x 415 = 38118421283250
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
777 : 1, 3, 7, 21, 37, 111, 259, 777
925 : 1, 5, 25, 37, 185, 925
157 : 1, 157
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,777,925,157,415, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
777:3x 7x 37
925:5x 5x 37
157:157
415:5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 37x 37 = 6845
Therefore, the value for common factors is 6845.
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 = 38118421283250/(1x6845)
LCM = 38118421283250/6845
LCM = 5568797850
Thus, we can understand that the LCM of 814,777,925,157,415 is 5568797850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 777, 925, 157, 415?
Answer: LCM of 814, 777, 925, 157, 415 is 5568797850.
2. How to calculate the LCM of 814, 777, 925, 157, 415?
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 814, 777, 925, 157, 415.
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}.