Find the LCM of 392, 675, 911, 925, 298 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 392, 675, 911, 925, 298. So, keep reading to learn more.
Given numbers are 392,675,911,925,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,675,911,925,298 is 1328911957800.
Find LCM of 392,675,911,925,298 with Prime Factorization
2 | 392, 675, 911, 925, 298 |
5 | 196, 675, 911, 925, 149 |
5 | 196, 135, 911, 185, 149 |
196, 27, 911, 37, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 196 x 27 x 911 x 37 x 149 = 1328911957800
Therefore, the lowest common multiple of 392,675,911,925,298 is 1328911957800.
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.
392 x 675 x 911 x 925 x 298 = 66445597890000
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
911 : 1, 911
925 : 1, 5, 25, 37, 185, 925
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,675,911,925,298, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
675:3x 3x 3x 5x 5
911:911
925:5x 5x 37
298:2x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 66445597890000/(1x50)
LCM = 66445597890000/50
LCM = 1328911957800
Thus, we can understand that the LCM of 392,675,911,925,298 is 1328911957800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 392, 675, 911, 925, 298?
Answer: LCM of 392, 675, 911, 925, 298 is 1328911957800.
2. How to calculate the LCM of 392, 675, 911, 925, 298?
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 392, 675, 911, 925, 298.
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}.