Find the LCM of 727, 307, 630, 877, 745 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 727, 307, 630, 877, 745. So, keep reading to learn more.
Given numbers are 727,307,630,877,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,307,630,877,745 is 18373809004110.
Find LCM of 727,307,630,877,745 with Prime Factorization
5 | 727, 307, 630, 877, 745 |
727, 307, 126, 877, 149 |
Multiply the prime numbers at the bottom and the left side.
5 x 727 x 307 x 126 x 877 x 149 = 18373809004110
Therefore, the lowest common multiple of 727,307,630,877,745 is 18373809004110.
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.
727 x 307 x 630 x 877 x 745 = 91869045020550
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.
727 : 1, 727
307 : 1, 307
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
877 : 1, 877
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,307,630,877,745, is 1.
Now, the common factors can be found like this.
727:727
307:307
630:2x 3x 3x 5x 7
877:877
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 91869045020550/(1x5)
LCM = 91869045020550/5
LCM = 18373809004110
Thus, we can understand that the LCM of 727,307,630,877,745 is 18373809004110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 727, 307, 630, 877, 745?
Answer: LCM of 727, 307, 630, 877, 745 is 18373809004110.
2. How to calculate the LCM of 727, 307, 630, 877, 745?
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 727, 307, 630, 877, 745.
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}.