LCM of 962, 253, 748, 315, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 253, 748, 315, 935 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 962, 253, 748, 315, 935. So, keep reading to learn more.
Given numbers are 962,253,748,315,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,253,748,315,935 is 2606664060.
Find LCM of 962,253,748,315,935 with Prime Factorization
| 2 | 962, 253, 748, 315, 935 |
| 5 | 481, 253, 374, 315, 935 |
| 11 | 481, 253, 374, 63, 187 |
| 17 | 481, 23, 34, 63, 17 |
| 481, 23, 2, 63, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 481 x 23 x 2 x 63 x 1 = 2606664060
Therefore, the lowest common multiple of 962,253,748,315,935 is 2606664060.
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.
962 x 253 x 748 x 315 x 935 = 53619079714200
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
253 : 1, 11, 23, 253
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,253,748,315,935, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
253:11x 23
748:2x 2x 11x 17
315:3x 3x 5x 7
935:5x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 11x 17 = 20570
Therefore, the value for common factors is 20570.
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 = 53619079714200/(1x20570)
LCM = 53619079714200/20570
LCM = 2606664060
Thus, we can understand that the LCM of 962,253,748,315,935 is 2606664060.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 962, 253, 748, 315, 935
1. What is the LCM of 962, 253, 748, 315, 935?
Answer: LCM of 962, 253, 748, 315, 935 is 2606664060.
2. How to calculate the LCM of 962, 253, 748, 315, 935?
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 962, 253, 748, 315, 935.
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}.