LCM of 742, 754, 845, 964, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 754, 845, 964, 247 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 742, 754, 845, 964, 247. So, keep reading to learn more.
Given numbers are 742,754,845,964,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,754,845,964,247 is 166517258180.
Find LCM of 742,754,845,964,247 with Prime Factorization
| 2 | 742, 754, 845, 964, 247 |
| 13 | 371, 377, 845, 482, 247 |
| 371, 29, 65, 482, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 371 x 29 x 65 x 482 x 19 = 166517258180
Therefore, the lowest common multiple of 742,754,845,964,247 is 166517258180.
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.
742 x 754 x 845 x 964 x 247 = 112565666529680
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
754 : 1, 2, 13, 26, 29, 58, 377, 754
845 : 1, 5, 13, 65, 169, 845
964 : 1, 2, 4, 241, 482, 964
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,754,845,964,247, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
754:2x 13x 29
845:5x 13x 13
964:2x 2x 241
247:13x 19
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 112565666529680/(1x676)
LCM = 112565666529680/676
LCM = 166517258180
Thus, we can understand that the LCM of 742,754,845,964,247 is 166517258180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 742, 754, 845, 964, 247
1. What is the LCM of 742, 754, 845, 964, 247?
Answer: LCM of 742, 754, 845, 964, 247 is 166517258180.
2. How to calculate the LCM of 742, 754, 845, 964, 247?
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 742, 754, 845, 964, 247.
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}.