Find the LCM of 767, 957, 260, 727 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 767, 957, 260, 727. So, keep reading to learn more.
Given numbers are 767,957,260,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,957,260,727 is 10672636260.
Find LCM of 767,957,260,727 with Prime Factorization
13 | 767, 957, 260, 727 |
59, 957, 20, 727 |
Multiply the prime numbers at the bottom and the left side.
13 x 59 x 957 x 20 x 727 = 10672636260
Therefore, the lowest common multiple of 767,957,260,727 is 10672636260.
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.
767 x 957 x 260 x 727 = 138744271380
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.
767 : 1, 13, 59, 767
957 : 1, 3, 11, 29, 33, 87, 319, 957
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,957,260,727, is 1.
Now, the common factors can be found like this.
767:13x 59
957:3x 11x 29
260:2x 2x 5x 13
727:727
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 138744271380/(1x13)
LCM = 138744271380/13
LCM = 10672636260
Thus, we can understand that the LCM of 767,957,260,727 is 10672636260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 767, 957, 260, 727?
Answer: LCM of 767, 957, 260, 727 is 10672636260.
2. How to calculate the LCM of 767, 957, 260, 727?
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 767, 957, 260, 727.
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}.