LCM of 103, 460, 962, 480, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 460, 962, 480, 493 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 103, 460, 962, 480, 493. So, keep reading to learn more.
Given numbers are 103,460,962,480,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,460,962,480,493 is 269648676960.
Find LCM of 103,460,962,480,493 with Prime Factorization
| 2 | 103, 460, 962, 480, 493 |
| 2 | 103, 230, 481, 240, 493 |
| 5 | 103, 115, 481, 120, 493 |
| 103, 23, 481, 24, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 103 x 23 x 481 x 24 x 493 = 269648676960
Therefore, the lowest common multiple of 103,460,962,480,493 is 269648676960.
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.
103 x 460 x 962 x 480 x 493 = 10785947078400
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.
103 : 1, 103
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
962 : 1, 2, 13, 26, 37, 74, 481, 962
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,460,962,480,493, is 1.
Now, the common factors can be found like this.
103:103
460:2x 2x 5x 23
962:2x 13x 37
480:2x 2x 2x 2x 2x 3x 5
493:17x 29
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 5 = 40
Therefore, the value for common factors is 40.
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 = 10785947078400/(1x40)
LCM = 10785947078400/40
LCM = 269648676960
Thus, we can understand that the LCM of 103,460,962,480,493 is 269648676960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 103, 460, 962, 480, 493
1. What is the LCM of 103, 460, 962, 480, 493?
Answer: LCM of 103, 460, 962, 480, 493 is 269648676960.
2. How to calculate the LCM of 103, 460, 962, 480, 493?
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 103, 460, 962, 480, 493.
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}.