LCM of 494, 377, 756, 871, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 377, 756, 871, 836 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 494, 377, 756, 871, 836. So, keep reading to learn more.
Given numbers are 494,377,756,871,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,377,756,871,836 is 3991023036.
Find LCM of 494,377,756,871,836 with Prime Factorization
| 2 | 494, 377, 756, 871, 836 |
| 2 | 247, 377, 378, 871, 418 |
| 13 | 247, 377, 189, 871, 209 |
| 19 | 19, 29, 189, 67, 209 |
| 1, 29, 189, 67, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 1 x 29 x 189 x 67 x 11 = 3991023036
Therefore, the lowest common multiple of 494,377,756,871,836 is 3991023036.
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.
494 x 377 x 756 x 871 x 836 = 102521399748768
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
377 : 1, 13, 29, 377
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
871 : 1, 13, 67, 871
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,377,756,871,836, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
377:13x 29
756:2x 2x 3x 3x 3x 7
871:13x 67
836:2x 2x 11x 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 2x 2x 13x 13x 19 = 25688
Therefore, the value for common factors is 25688.
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 = 102521399748768/(1x25688)
LCM = 102521399748768/25688
LCM = 3991023036
Thus, we can understand that the LCM of 494,377,756,871,836 is 3991023036.
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FAQs on LCM of 494, 377, 756, 871, 836
1. What is the LCM of 494, 377, 756, 871, 836?
Answer: LCM of 494, 377, 756, 871, 836 is 3991023036.
2. How to calculate the LCM of 494, 377, 756, 871, 836?
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 494, 377, 756, 871, 836.
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}.