LCM of 462, 962, 916, 215, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 962, 916, 215, 494 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 462, 962, 916, 215, 494. So, keep reading to learn more.
Given numbers are 462,962,916,215,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,962,916,215,494 is 415761806460.
Find LCM of 462,962,916,215,494 with Prime Factorization
| 2 | 462, 962, 916, 215, 494 |
| 13 | 231, 481, 458, 215, 247 |
| 231, 37, 458, 215, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 231 x 37 x 458 x 215 x 19 = 415761806460
Therefore, the lowest common multiple of 462,962,916,215,494 is 415761806460.
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.
462 x 962 x 916 x 215 x 494 = 43239227871840
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
962 : 1, 2, 13, 26, 37, 74, 481, 962
916 : 1, 2, 4, 229, 458, 916
215 : 1, 5, 43, 215
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,962,916,215,494, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
962:2x 13x 37
916:2x 2x 229
215:5x 43
494:2x 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 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 43239227871840/(1x104)
LCM = 43239227871840/104
LCM = 415761806460
Thus, we can understand that the LCM of 462,962,916,215,494 is 415761806460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 462, 962, 916, 215, 494
1. What is the LCM of 462, 962, 916, 215, 494?
Answer: LCM of 462, 962, 916, 215, 494 is 415761806460.
2. How to calculate the LCM of 462, 962, 916, 215, 494?
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 462, 962, 916, 215, 494.
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}.