Find the LCM of 835, 796, 728, 420 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 835, 796, 728, 420. So, keep reading to learn more.
Given numbers are 835,796,728,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,796,728,420 is 362904360.
Find LCM of 835,796,728,420 with Prime Factorization
2 | 835, 796, 728, 420 |
2 | 835, 398, 364, 210 |
5 | 835, 199, 182, 105 |
7 | 167, 199, 182, 21 |
167, 199, 26, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 167 x 199 x 26 x 3 = 362904360
Therefore, the lowest common multiple of 835,796,728,420 is 362904360.
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.
835 x 796 x 728 x 420 = 203226441600
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.
835 : 1, 5, 167, 835
796 : 1, 2, 4, 199, 398, 796
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,796,728,420, is 1.
Now, the common factors can be found like this.
835:5x 167
796:2x 2x 199
728:2x 2x 2x 7x 13
420:2x 2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 203226441600/(1x560)
LCM = 203226441600/560
LCM = 362904360
Thus, we can understand that the LCM of 835,796,728,420 is 362904360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 835, 796, 728, 420?
Answer: LCM of 835, 796, 728, 420 is 362904360.
2. How to calculate the LCM of 835, 796, 728, 420?
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 835, 796, 728, 420.
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}.