Find the LCM of 692, 715, 712 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 692, 715, 712. So, keep reading to learn more.
Given numbers are 692,715,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,715,712 is 88070840.
Find LCM of 692,715,712 with Prime Factorization
2 | 692, 715, 712 |
2 | 346, 715, 356 |
173, 715, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 173 x 715 x 178 = 88070840
Therefore, the lowest common multiple of 692,715,712 is 88070840.
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.
692 x 715 x 712 = 352283360
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.
692 : 1, 2, 4, 173, 346, 692
715 : 1, 5, 11, 13, 55, 65, 143, 715
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,715,712, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
715:5x 11x 13
712:2x 2x 2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 352283360/(1x4)
LCM = 352283360/4
LCM = 88070840
Thus, we can understand that the LCM of 692,715,712 is 88070840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 692, 715, 712?
Answer: LCM of 692, 715, 712 is 88070840.
2. How to calculate the LCM of 692, 715, 712?
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 692, 715, 712.
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}.