LCM of 497, 962, 102, 364, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 962, 102, 364, 816 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 497, 962, 102, 364, 816. So, keep reading to learn more.
Given numbers are 497,962,102,364,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,962,102,364,816 is 195070512.
Find LCM of 497,962,102,364,816 with Prime Factorization
| 2 | 497, 962, 102, 364, 816 |
| 2 | 497, 481, 51, 182, 408 |
| 3 | 497, 481, 51, 91, 204 |
| 7 | 497, 481, 17, 91, 68 |
| 13 | 71, 481, 17, 13, 68 |
| 17 | 71, 37, 17, 1, 68 |
| 71, 37, 1, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 17 x 71 x 37 x 1 x 1 x 4 = 195070512
Therefore, the lowest common multiple of 497,962,102,364,816 is 195070512.
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.
497 x 962 x 102 x 364 x 816 = 14485155939072
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.
497 : 1, 7, 71, 497
962 : 1, 2, 13, 26, 37, 74, 481, 962
102 : 1, 2, 3, 6, 17, 34, 51, 102
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,962,102,364,816, is 1.
Now, the common factors can be found like this.
497:7x 71
962:2x 13x 37
102:2x 3x 17
364:2x 2x 7x 13
816:2x 2x 2x 2x 3x 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 2x 2x 2x 3x 7x 13x 17 = 74256
Therefore, the value for common factors is 74256.
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 = 14485155939072/(1x74256)
LCM = 14485155939072/74256
LCM = 195070512
Thus, we can understand that the LCM of 497,962,102,364,816 is 195070512.
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FAQs on LCM of 497, 962, 102, 364, 816
1. What is the LCM of 497, 962, 102, 364, 816?
Answer: LCM of 497, 962, 102, 364, 816 is 195070512.
2. How to calculate the LCM of 497, 962, 102, 364, 816?
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 497, 962, 102, 364, 816.
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}.