LCM of 471, 384, 768, 941
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 384, 768, 941 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 471, 384, 768, 941. So, keep reading to learn more.
Given numbers are 471,384,768,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,384,768,941 is 113462016.
Find LCM of 471,384,768,941 with Prime Factorization
| 2 | 471, 384, 768, 941 |
| 2 | 471, 192, 384, 941 |
| 2 | 471, 96, 192, 941 |
| 2 | 471, 48, 96, 941 |
| 2 | 471, 24, 48, 941 |
| 2 | 471, 12, 24, 941 |
| 2 | 471, 6, 12, 941 |
| 3 | 471, 3, 6, 941 |
| 157, 1, 2, 941 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 157 x 1 x 2 x 941 = 113462016
Therefore, the lowest common multiple of 471,384,768,941 is 113462016.
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.
471 x 384 x 768 x 941 = 130708242432
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.
471 : 1, 3, 157, 471
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,384,768,941, is 1.
Now, the common factors can be found like this.
471:3x 157
384:2x 2x 2x 2x 2x 2x 2x 3
768:2x 2x 2x 2x 2x 2x 2x 2x 3
941:941
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 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 130708242432/(1x1152)
LCM = 130708242432/1152
LCM = 113462016
Thus, we can understand that the LCM of 471,384,768,941 is 113462016.
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FAQs on LCM of 471, 384, 768, 941
1. What is the LCM of 471, 384, 768, 941?
Answer: LCM of 471, 384, 768, 941 is 113462016.
2. How to calculate the LCM of 471, 384, 768, 941?
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 471, 384, 768, 941.
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}.