LCM of 829, 126, 469, 118
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 829, 126, 469, 118 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 829, 126, 469, 118. So, keep reading to learn more.
Given numbers are 829,126,469,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,126,469,118 is 412906662.
Find LCM of 829,126,469,118 with Prime Factorization
| 2 | 829, 126, 469, 118 |
| 7 | 829, 63, 469, 59 |
| 829, 9, 67, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 829 x 9 x 67 x 59 = 412906662
Therefore, the lowest common multiple of 829,126,469,118 is 412906662.
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.
829 x 126 x 469 x 118 = 5780693268
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.
829 : 1, 829
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
469 : 1, 7, 67, 469
118 : 1, 2, 59, 118
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,126,469,118, is 1.
Now, the common factors can be found like this.
829:829
126:2x 3x 3x 7
469:7x 67
118:2x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 5780693268/(1x14)
LCM = 5780693268/14
LCM = 412906662
Thus, we can understand that the LCM of 829,126,469,118 is 412906662.
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FAQs on LCM of 829, 126, 469, 118
1. What is the LCM of 829, 126, 469, 118?
Answer: LCM of 829, 126, 469, 118 is 412906662.
2. How to calculate the LCM of 829, 126, 469, 118?
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 829, 126, 469, 118.
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}.