LCM of 829, 418, 396, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 829, 418, 396, 874 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, 418, 396, 874. So, keep reading to learn more.
Given numbers are 829,418,396,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,418,396,874 is 143460108.
Find LCM of 829,418,396,874 with Prime Factorization
| 2 | 829, 418, 396, 874 |
| 11 | 829, 209, 198, 437 |
| 19 | 829, 19, 18, 437 |
| 829, 1, 18, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 829 x 1 x 18 x 23 = 143460108
Therefore, the lowest common multiple of 829,418,396,874 is 143460108.
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 418 x 396 x 874 = 119932650288
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
418 : 1, 2, 11, 19, 22, 38, 209, 418
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,418,396,874, is 1.
Now, the common factors can be found like this.
829:829
418:2x 11x 19
396:2x 2x 3x 3x 11
874:2x 19x 23
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 119932650288/(1x836)
LCM = 119932650288/836
LCM = 143460108
Thus, we can understand that the LCM of 829,418,396,874 is 143460108.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 829, 418, 396, 874
1. What is the LCM of 829, 418, 396, 874?
Answer: LCM of 829, 418, 396, 874 is 143460108.
2. How to calculate the LCM of 829, 418, 396, 874?
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, 418, 396, 874.
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}.