Find the LCM of 685, 743, 743, 718 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, 743, 743, 718. So, keep reading to learn more.
Given numbers are 685,743,743,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,743,743,718 is 365429690.
Find LCM of 685,743,743,718 with Prime Factorization
743 | 685, 743, 743, 718 |
685, 1, 1, 718 |
Multiply the prime numbers at the bottom and the left side.
743 x 685 x 1 x 1 x 718 = 365429690
Therefore, the lowest common multiple of 685,743,743,718 is 365429690.
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 743 x 743 x 718 = 271514259670
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
743 : 1, 743
743 : 1, 743
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,743,743,718, is 1.
Now, the common factors can be found like this.
685:5x 137
743:743
743:743
718:2x 359
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
743 = 743
Therefore, the value for common factors is 743.
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 = 271514259670/(1x743)
LCM = 271514259670/743
LCM = 365429690
Thus, we can understand that the LCM of 685,743,743,718 is 365429690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 685, 743, 743, 718?
Answer: LCM of 685, 743, 743, 718 is 365429690.
2. How to calculate the LCM of 685, 743, 743, 718?
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, 743, 743, 718.
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}.