Find the LCM of 743, 195, 276, 828, 311 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 743, 195, 276, 828, 311. So, keep reading to learn more.
Given numbers are 743,195,276,828,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,195,276,828,311 is 12436348860.
Find LCM of 743,195,276,828,311 with Prime Factorization
2 | 743, 195, 276, 828, 311 |
2 | 743, 195, 138, 414, 311 |
3 | 743, 195, 69, 207, 311 |
23 | 743, 65, 23, 69, 311 |
743, 65, 1, 3, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 743 x 65 x 1 x 3 x 311 = 12436348860
Therefore, the lowest common multiple of 743,195,276,828,311 is 12436348860.
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.
743 x 195 x 276 x 828 x 311 = 10297296856080
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.
743 : 1, 743
195 : 1, 3, 5, 13, 15, 39, 65, 195
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,195,276,828,311, is 1.
Now, the common factors can be found like this.
743:743
195:3x 5x 13
276:2x 2x 3x 23
828:2x 2x 3x 3x 23
311:311
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 3x 3x 23 = 828
Therefore, the value for common factors is 828.
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 = 10297296856080/(1x828)
LCM = 10297296856080/828
LCM = 12436348860
Thus, we can understand that the LCM of 743,195,276,828,311 is 12436348860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 743, 195, 276, 828, 311?
Answer: LCM of 743, 195, 276, 828, 311 is 12436348860.
2. How to calculate the LCM of 743, 195, 276, 828, 311?
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 743, 195, 276, 828, 311.
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}.