Find the LCM of 777, 907, 925, 407, 496 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 777, 907, 925, 407, 496. So, keep reading to learn more.
Given numbers are 777,907,925,407,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,907,925,407,496 is 96126399600.
Find LCM of 777,907,925,407,496 with Prime Factorization
37 | 777, 907, 925, 407, 496 |
21, 907, 25, 11, 496 |
Multiply the prime numbers at the bottom and the left side.
37 x 21 x 907 x 25 x 11 x 496 = 96126399600
Therefore, the lowest common multiple of 777,907,925,407,496 is 96126399600.
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.
777 x 907 x 925 x 407 x 496 = 131597041052400
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
907 : 1, 907
925 : 1, 5, 25, 37, 185, 925
407 : 1, 11, 37, 407
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,907,925,407,496, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
907:907
925:5x 5x 37
407:11x 37
496:2x 2x 2x 2x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
37x 37 = 1369
Therefore, the value for common factors is 1369.
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 = 131597041052400/(1x1369)
LCM = 131597041052400/1369
LCM = 96126399600
Thus, we can understand that the LCM of 777,907,925,407,496 is 96126399600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 777, 907, 925, 407, 496?
Answer: LCM of 777, 907, 925, 407, 496 is 96126399600.
2. How to calculate the LCM of 777, 907, 925, 407, 496?
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 777, 907, 925, 407, 496.
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}.