LCM of 232, 456, 882, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 456, 882, 741 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 232, 456, 882, 741. So, keep reading to learn more.
Given numbers are 232,456,882,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,456,882,741 is 25271064.
Find LCM of 232,456,882,741 with Prime Factorization
| 2 | 232, 456, 882, 741 |
| 2 | 116, 228, 441, 741 |
| 2 | 58, 114, 441, 741 |
| 3 | 29, 57, 441, 741 |
| 19 | 29, 19, 147, 247 |
| 29, 1, 147, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 29 x 1 x 147 x 13 = 25271064
Therefore, the lowest common multiple of 232,456,882,741 is 25271064.
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.
232 x 456 x 882 x 741 = 69141631104
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,456,882,741, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
456:2x 2x 2x 3x 19
882:2x 3x 3x 7x 7
741:3x 13x 19
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 19 = 2736
Therefore, the value for common factors is 2736.
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 = 69141631104/(1x2736)
LCM = 69141631104/2736
LCM = 25271064
Thus, we can understand that the LCM of 232,456,882,741 is 25271064.
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FAQs on LCM of 232, 456, 882, 741
1. What is the LCM of 232, 456, 882, 741?
Answer: LCM of 232, 456, 882, 741 is 25271064.
2. How to calculate the LCM of 232, 456, 882, 741?
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 232, 456, 882, 741.
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}.