Find the LCM of 910, 127, 748, 572, 755 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 910, 127, 748, 572, 755. So, keep reading to learn more.
Given numbers are 910,127,748,572,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,127,748,572,755 is 6526700180.
Find LCM of 910,127,748,572,755 with Prime Factorization
2 | 910, 127, 748, 572, 755 |
2 | 455, 127, 374, 286, 755 |
5 | 455, 127, 187, 143, 755 |
11 | 91, 127, 187, 143, 151 |
13 | 91, 127, 17, 13, 151 |
7, 127, 17, 1, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 7 x 127 x 17 x 1 x 151 = 6526700180
Therefore, the lowest common multiple of 910,127,748,572,755 is 6526700180.
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.
910 x 127 x 748 x 572 x 755 = 37332725029600
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
127 : 1, 127
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,127,748,572,755, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
127:127
748:2x 2x 11x 17
572:2x 2x 11x 13
755:5x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 11x 13 = 5720
Therefore, the value for common factors is 5720.
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 = 37332725029600/(1x5720)
LCM = 37332725029600/5720
LCM = 6526700180
Thus, we can understand that the LCM of 910,127,748,572,755 is 6526700180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 127, 748, 572, 755?
Answer: LCM of 910, 127, 748, 572, 755 is 6526700180.
2. How to calculate the LCM of 910, 127, 748, 572, 755?
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 910, 127, 748, 572, 755.
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}.