LCM of 242, 442, 221, 180, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 442, 221, 180, 688 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, 442, 221, 180, 688. So, keep reading to learn more.
Given numbers are 242,442,221,180,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,442,221,180,688 is 827901360.
Find LCM of 242,442,221,180,688 with Prime Factorization
| 2 | 242, 442, 221, 180, 688 |
| 2 | 121, 221, 221, 90, 344 |
| 13 | 121, 221, 221, 45, 172 |
| 17 | 121, 17, 17, 45, 172 |
| 121, 1, 1, 45, 172 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 121 x 1 x 1 x 45 x 172 = 827901360
Therefore, the lowest common multiple of 242,442,221,180,688 is 827901360.
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 442 x 221 x 180 x 688 = 2927459208960
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
221 : 1, 13, 17, 221
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,442,221,180,688, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
442:2x 13x 17
221:13x 17
180:2x 2x 3x 3x 5
688:2x 2x 2x 2x 43
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 13x 17 = 3536
Therefore, the value for common factors is 3536.
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 = 2927459208960/(1x3536)
LCM = 2927459208960/3536
LCM = 827901360
Thus, we can understand that the LCM of 242,442,221,180,688 is 827901360.
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FAQs on LCM of 242, 442, 221, 180, 688
1. What is the LCM of 242, 442, 221, 180, 688?
Answer: LCM of 242, 442, 221, 180, 688 is 827901360.
2. How to calculate the LCM of 242, 442, 221, 180, 688?
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, 442, 221, 180, 688.
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}.