Find the LCM of 685, 698, 827, 792 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 685, 698, 827, 792. So, keep reading to learn more.
Given numbers are 685,698,827,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,698,827,792 is 156583749960.
Find LCM of 685,698,827,792 with Prime Factorization
2 | 685, 698, 827, 792 |
685, 349, 827, 396 |
Multiply the prime numbers at the bottom and the left side.
2 x 685 x 349 x 827 x 396 = 156583749960
Therefore, the lowest common multiple of 685,698,827,792 is 156583749960.
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.
685 x 698 x 827 x 792 = 313167499920
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.
685 : 1, 5, 137, 685
698 : 1, 2, 349, 698
827 : 1, 827
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,698,827,792, is 1.
Now, the common factors can be found like this.
685:5x 137
698:2x 349
827:827
792:2x 2x 2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 313167499920/(1x2)
LCM = 313167499920/2
LCM = 156583749960
Thus, we can understand that the LCM of 685,698,827,792 is 156583749960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 685, 698, 827, 792?
Answer: LCM of 685, 698, 827, 792 is 156583749960.
2. How to calculate the LCM of 685, 698, 827, 792?
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 685, 698, 827, 792.
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}.