LCM of 471, 434, 756, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 434, 756, 168 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, 434, 756, 168. So, keep reading to learn more.
Given numbers are 471,434,756,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,434,756,168 is 7358904.
Find LCM of 471,434,756,168 with Prime Factorization
| 2 | 471, 434, 756, 168 |
| 2 | 471, 217, 378, 84 |
| 3 | 471, 217, 189, 42 |
| 7 | 157, 217, 63, 14 |
| 157, 31, 9, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 157 x 31 x 9 x 2 = 7358904
Therefore, the lowest common multiple of 471,434,756,168 is 7358904.
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 434 x 756 x 168 = 25962213312
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
434 : 1, 2, 7, 14, 31, 62, 217, 434
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,434,756,168, is 1.
Now, the common factors can be found like this.
471:3x 157
434:2x 7x 31
756:2x 2x 3x 3x 3x 7
168:2x 2x 2x 3x 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 3x 3x 7x 7 = 3528
Therefore, the value for common factors is 3528.
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 = 25962213312/(1x3528)
LCM = 25962213312/3528
LCM = 7358904
Thus, we can understand that the LCM of 471,434,756,168 is 7358904.
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FAQs on LCM of 471, 434, 756, 168
1. What is the LCM of 471, 434, 756, 168?
Answer: LCM of 471, 434, 756, 168 is 7358904.
2. How to calculate the LCM of 471, 434, 756, 168?
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, 434, 756, 168.
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}.