LCM of 364, 229, 741, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 229, 741, 832 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 364, 229, 741, 832. So, keep reading to learn more.
Given numbers are 364,229,741,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,229,741,832 is 76020672.
Find LCM of 364,229,741,832 with Prime Factorization
| 2 | 364, 229, 741, 832 |
| 2 | 182, 229, 741, 416 |
| 13 | 91, 229, 741, 208 |
| 7, 229, 57, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 7 x 229 x 57 x 16 = 76020672
Therefore, the lowest common multiple of 364,229,741,832 is 76020672.
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.
364 x 229 x 741 x 832 = 51389974272
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
229 : 1, 229
741 : 1, 3, 13, 19, 39, 57, 247, 741
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,229,741,832, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
229:229
741:3x 13x 19
832:2x 2x 2x 2x 2x 2x 13
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 51389974272/(1x676)
LCM = 51389974272/676
LCM = 76020672
Thus, we can understand that the LCM of 364,229,741,832 is 76020672.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 364, 229, 741, 832
1. What is the LCM of 364, 229, 741, 832?
Answer: LCM of 364, 229, 741, 832 is 76020672.
2. How to calculate the LCM of 364, 229, 741, 832?
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 364, 229, 741, 832.
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}.