LCM of 986, 377, 836, 769, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 377, 836, 769, 923 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 986, 377, 836, 769, 923. So, keep reading to learn more.
Given numbers are 986,377,836,769,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,377,836,769,923 is 292537292476.
Find LCM of 986,377,836,769,923 with Prime Factorization
| 2 | 986, 377, 836, 769, 923 |
| 13 | 493, 377, 418, 769, 923 |
| 29 | 493, 29, 418, 769, 71 |
| 17, 1, 418, 769, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 29 x 17 x 1 x 418 x 769 x 71 = 292537292476
Therefore, the lowest common multiple of 986,377,836,769,923 is 292537292476.
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.
986 x 377 x 836 x 769 x 923 = 220573118526904
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
377 : 1, 13, 29, 377
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
769 : 1, 769
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,377,836,769,923, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
377:13x 29
836:2x 2x 11x 19
769:769
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 29 = 754
Therefore, the value for common factors is 754.
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 = 220573118526904/(1x754)
LCM = 220573118526904/754
LCM = 292537292476
Thus, we can understand that the LCM of 986,377,836,769,923 is 292537292476.
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FAQs on LCM of 986, 377, 836, 769, 923
1. What is the LCM of 986, 377, 836, 769, 923?
Answer: LCM of 986, 377, 836, 769, 923 is 292537292476.
2. How to calculate the LCM of 986, 377, 836, 769, 923?
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 986, 377, 836, 769, 923.
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}.