LCM of 495, 517, 791, 242, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 517, 791, 242, 812 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 495, 517, 791, 242, 812. So, keep reading to learn more.
Given numbers are 495,517,791,242,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,517,791,242,812 is 23481736740.
Find LCM of 495,517,791,242,812 with Prime Factorization
| 2 | 495, 517, 791, 242, 812 |
| 7 | 495, 517, 791, 121, 406 |
| 11 | 495, 517, 113, 121, 58 |
| 45, 47, 113, 11, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 45 x 47 x 113 x 11 x 58 = 23481736740
Therefore, the lowest common multiple of 495,517,791,242,812 is 23481736740.
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.
495 x 517 x 791 x 242 x 812 = 39778062037560
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
517 : 1, 11, 47, 517
791 : 1, 7, 113, 791
242 : 1, 2, 11, 22, 121, 242
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,517,791,242,812, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
517:11x 47
791:7x 113
242:2x 11x 11
812:2x 2x 7x 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 7x 11x 11 = 1694
Therefore, the value for common factors is 1694.
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 = 39778062037560/(1x1694)
LCM = 39778062037560/1694
LCM = 23481736740
Thus, we can understand that the LCM of 495,517,791,242,812 is 23481736740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 495, 517, 791, 242, 812
1. What is the LCM of 495, 517, 791, 242, 812?
Answer: LCM of 495, 517, 791, 242, 812 is 23481736740.
2. How to calculate the LCM of 495, 517, 791, 242, 812?
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 495, 517, 791, 242, 812.
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}.