Find the LCM of 907, 687, 687, 369 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 907, 687, 687, 369. So, keep reading to learn more.
Given numbers are 907,687,687,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,687,687,369 is 76642407.
Find LCM of 907,687,687,369 with Prime Factorization
3 | 907, 687, 687, 369 |
229 | 907, 229, 229, 123 |
907, 1, 1, 123 |
Multiply the prime numbers at the bottom and the left side.
3 x 229 x 907 x 1 x 1 x 123 = 76642407
Therefore, the lowest common multiple of 907,687,687,369 is 76642407.
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.
907 x 687 x 687 x 369 = 157960000827
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.
907 : 1, 907
687 : 1, 3, 229, 687
687 : 1, 3, 229, 687
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,687,687,369, is 1.
Now, the common factors can be found like this.
907:907
687:3x 229
687:3x 229
369:3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 229 = 2061
Therefore, the value for common factors is 2061.
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 = 157960000827/(1x2061)
LCM = 157960000827/2061
LCM = 76642407
Thus, we can understand that the LCM of 907,687,687,369 is 76642407.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 907, 687, 687, 369?
Answer: LCM of 907, 687, 687, 369 is 76642407.
2. How to calculate the LCM of 907, 687, 687, 369?
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 907, 687, 687, 369.
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}.