LCM of 116, 422, 242, 418, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 422, 242, 418, 964 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 116, 422, 242, 418, 964. So, keep reading to learn more.
Given numbers are 116,422,242,418,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,422,242,418,964 is 13561148084.
Find LCM of 116,422,242,418,964 with Prime Factorization
| 2 | 116, 422, 242, 418, 964 |
| 2 | 58, 211, 121, 209, 482 |
| 11 | 29, 211, 121, 209, 241 |
| 29, 211, 11, 19, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 29 x 211 x 11 x 19 x 241 = 13561148084
Therefore, the lowest common multiple of 116,422,242,418,964 is 13561148084.
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.
116 x 422 x 242 x 418 x 964 = 4773524125568
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.
116 : 1, 2, 4, 29, 58, 116
422 : 1, 2, 211, 422
242 : 1, 2, 11, 22, 121, 242
418 : 1, 2, 11, 19, 22, 38, 209, 418
964 : 1, 2, 4, 241, 482, 964
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,422,242,418,964, is 2.
Now, the common factors can be found like this.
116:2x 2x 29
422:2x 211
242:2x 11x 11
418:2x 11x 19
964:2x 2x 241
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 11 = 176
Therefore, the value for common factors is 176.
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 = 4773524125568/(2x176)
LCM = 4773524125568/352
LCM = 13561148084
Thus, we can understand that the LCM of 116,422,242,418,964 is 13561148084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 116, 422, 242, 418, 964
1. What is the LCM of 116, 422, 242, 418, 964?
Answer: LCM of 116, 422, 242, 418, 964 is 13561148084.
2. How to calculate the LCM of 116, 422, 242, 418, 964?
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 116, 422, 242, 418, 964.
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}.