LCM of 741, 344, 494, 171, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 344, 494, 171, 224 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 741, 344, 494, 171, 224. So, keep reading to learn more.
Given numbers are 741,344,494,171,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,344,494,171,224 is 21411936.
Find LCM of 741,344,494,171,224 with Prime Factorization
| 2 | 741, 344, 494, 171, 224 |
| 2 | 741, 172, 247, 171, 112 |
| 2 | 741, 86, 247, 171, 56 |
| 3 | 741, 43, 247, 171, 28 |
| 13 | 247, 43, 247, 57, 28 |
| 19 | 19, 43, 19, 57, 28 |
| 1, 43, 1, 3, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 19 x 1 x 43 x 1 x 3 x 28 = 21411936
Therefore, the lowest common multiple of 741,344,494,171,224 is 21411936.
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.
741 x 344 x 494 x 171 x 224 = 4823338351104
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
344 : 1, 2, 4, 8, 43, 86, 172, 344
494 : 1, 2, 13, 19, 26, 38, 247, 494
171 : 1, 3, 9, 19, 57, 171
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,344,494,171,224, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
344:2x 2x 2x 43
494:2x 13x 19
171:3x 3x 19
224:2x 2x 2x 2x 2x 7
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 13x 19x 19 = 225264
Therefore, the value for common factors is 225264.
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 = 4823338351104/(1x225264)
LCM = 4823338351104/225264
LCM = 21411936
Thus, we can understand that the LCM of 741,344,494,171,224 is 21411936.
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FAQs on LCM of 741, 344, 494, 171, 224
1. What is the LCM of 741, 344, 494, 171, 224?
Answer: LCM of 741, 344, 494, 171, 224 is 21411936.
2. How to calculate the LCM of 741, 344, 494, 171, 224?
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 741, 344, 494, 171, 224.
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}.