LCM of 222, 988, 276, 442, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 988, 276, 442, 414 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 222, 988, 276, 442, 414. So, keep reading to learn more.
Given numbers are 222,988,276,442,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,988,276,442,414 is 128640564.
Find LCM of 222,988,276,442,414 with Prime Factorization
| 2 | 222, 988, 276, 442, 414 |
| 2 | 111, 494, 138, 221, 207 |
| 3 | 111, 247, 69, 221, 207 |
| 13 | 37, 247, 23, 221, 69 |
| 23 | 37, 19, 23, 17, 69 |
| 37, 19, 1, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 23 x 37 x 19 x 1 x 17 x 3 = 128640564
Therefore, the lowest common multiple of 222,988,276,442,414 is 128640564.
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.
222 x 988 x 276 x 442 x 414 = 11077496247168
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
442 : 1, 2, 13, 17, 26, 34, 221, 442
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,988,276,442,414, is 2.
Now, the common factors can be found like this.
222:2x 3x 37
988:2x 2x 13x 19
276:2x 2x 3x 23
442:2x 13x 17
414:2x 3x 3x 23
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 3x 13x 23 = 43056
Therefore, the value for common factors is 43056.
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 = 11077496247168/(2x43056)
LCM = 11077496247168/86112
LCM = 128640564
Thus, we can understand that the LCM of 222,988,276,442,414 is 128640564.
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FAQs on LCM of 222, 988, 276, 442, 414
1. What is the LCM of 222, 988, 276, 442, 414?
Answer: LCM of 222, 988, 276, 442, 414 is 128640564.
2. How to calculate the LCM of 222, 988, 276, 442, 414?
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 222, 988, 276, 442, 414.
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}.