Find the LCM of 115, 754, 276, 814, 744 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 115, 754, 276, 814, 744. So, keep reading to learn more.
Given numbers are 115,754,276,814,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,754,276,814,744 is 13128240840.
Find LCM of 115,754,276,814,744 with Prime Factorization
2 | 115, 754, 276, 814, 744 |
2 | 115, 377, 138, 407, 372 |
3 | 115, 377, 69, 407, 186 |
23 | 115, 377, 23, 407, 62 |
5, 377, 1, 407, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 5 x 377 x 1 x 407 x 62 = 13128240840
Therefore, the lowest common multiple of 115,754,276,814,744 is 13128240840.
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.
115 x 754 x 276 x 814 x 744 = 14493577887360
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.
115 : 1, 5, 23, 115
754 : 1, 2, 13, 26, 29, 58, 377, 754
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
814 : 1, 2, 11, 22, 37, 74, 407, 814
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,754,276,814,744, is 1.
Now, the common factors can be found like this.
115:5x 23
754:2x 13x 29
276:2x 2x 3x 23
814:2x 11x 37
744:2x 2x 2x 3x 31
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 2x 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 14493577887360/(1x1104)
LCM = 14493577887360/1104
LCM = 13128240840
Thus, we can understand that the LCM of 115,754,276,814,744 is 13128240840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 115, 754, 276, 814, 744?
Answer: LCM of 115, 754, 276, 814, 744 is 13128240840.
2. How to calculate the LCM of 115, 754, 276, 814, 744?
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 115, 754, 276, 814, 744.
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}.