LCM of 242, 144, 472, 414, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 144, 472, 414, 986 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 242, 144, 472, 414, 986. So, keep reading to learn more.
Given numbers are 242,144,472,414,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,144,472,414,986 is 11656673424.
Find LCM of 242,144,472,414,986 with Prime Factorization
| 2 | 242, 144, 472, 414, 986 |
| 2 | 121, 72, 236, 207, 493 |
| 2 | 121, 36, 118, 207, 493 |
| 3 | 121, 18, 59, 207, 493 |
| 3 | 121, 6, 59, 69, 493 |
| 121, 2, 59, 23, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 121 x 2 x 59 x 23 x 493 = 11656673424
Therefore, the lowest common multiple of 242,144,472,414,986 is 11656673424.
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.
242 x 144 x 472 x 414 x 986 = 6714243892224
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.
242 : 1, 2, 11, 22, 121, 242
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
472 : 1, 2, 4, 8, 59, 118, 236, 472
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
986 : 1, 2, 17, 29, 34, 58, 493, 986
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,144,472,414,986, is 2.
Now, the common factors can be found like this.
242:2x 11x 11
144:2x 2x 2x 2x 3x 3
472:2x 2x 2x 59
414:2x 3x 3x 23
986:2x 17x 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 2x 2x 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 6714243892224/(2x288)
LCM = 6714243892224/576
LCM = 11656673424
Thus, we can understand that the LCM of 242,144,472,414,986 is 11656673424.
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FAQs on LCM of 242, 144, 472, 414, 986
1. What is the LCM of 242, 144, 472, 414, 986?
Answer: LCM of 242, 144, 472, 414, 986 is 11656673424.
2. How to calculate the LCM of 242, 144, 472, 414, 986?
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 242, 144, 472, 414, 986.
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}.