LCM of 439, 754, 116, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 439, 754, 116, 906 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 439, 754, 116, 906. So, keep reading to learn more.
Given numbers are 439,754,116,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,754,116,906 is 299891436.
Find LCM of 439,754,116,906 with Prime Factorization
| 2 | 439, 754, 116, 906 |
| 29 | 439, 377, 58, 453 |
| 439, 13, 2, 453 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 439 x 13 x 2 x 453 = 299891436
Therefore, the lowest common multiple of 439,754,116,906 is 299891436.
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.
439 x 754 x 116 x 906 = 34787406576
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.
439 : 1, 439
754 : 1, 2, 13, 26, 29, 58, 377, 754
116 : 1, 2, 4, 29, 58, 116
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,754,116,906, is 1.
Now, the common factors can be found like this.
439:439
754:2x 13x 29
116:2x 2x 29
906:2x 3x 151
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 29 = 116
Therefore, the value for common factors is 116.
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 = 34787406576/(1x116)
LCM = 34787406576/116
LCM = 299891436
Thus, we can understand that the LCM of 439,754,116,906 is 299891436.
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FAQs on LCM of 439, 754, 116, 906
1. What is the LCM of 439, 754, 116, 906?
Answer: LCM of 439, 754, 116, 906 is 299891436.
2. How to calculate the LCM of 439, 754, 116, 906?
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 439, 754, 116, 906.
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}.