LCM of 711, 286, 829, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 711, 286, 829, 494 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 711, 286, 829, 494. So, keep reading to learn more.
Given numbers are 711,286,829,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,286,829,494 is 3202902846.
Find LCM of 711,286,829,494 with Prime Factorization
| 2 | 711, 286, 829, 494 |
| 13 | 711, 143, 829, 247 |
| 711, 11, 829, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 711 x 11 x 829 x 19 = 3202902846
Therefore, the lowest common multiple of 711,286,829,494 is 3202902846.
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.
711 x 286 x 829 x 494 = 83275473996
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.
711 : 1, 3, 9, 79, 237, 711
286 : 1, 2, 11, 13, 22, 26, 143, 286
829 : 1, 829
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,286,829,494, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
286:2x 11x 13
829:829
494:2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 83275473996/(1x26)
LCM = 83275473996/26
LCM = 3202902846
Thus, we can understand that the LCM of 711,286,829,494 is 3202902846.
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FAQs on LCM of 711, 286, 829, 494
1. What is the LCM of 711, 286, 829, 494?
Answer: LCM of 711, 286, 829, 494 is 3202902846.
2. How to calculate the LCM of 711, 286, 829, 494?
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 711, 286, 829, 494.
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}.