LCM of 672, 737, 836, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 737, 836, 399 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 672, 737, 836, 399. So, keep reading to learn more.
Given numbers are 672,737,836,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,737,836,399 is 9410016.
Find LCM of 672,737,836,399 with Prime Factorization
| 2 | 672, 737, 836, 399 |
| 2 | 336, 737, 418, 399 |
| 3 | 168, 737, 209, 399 |
| 7 | 56, 737, 209, 133 |
| 11 | 8, 737, 209, 19 |
| 19 | 8, 67, 19, 19 |
| 8, 67, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 19 x 8 x 67 x 1 x 1 = 9410016
Therefore, the lowest common multiple of 672,737,836,399 is 9410016.
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.
672 x 737 x 836 x 399 = 165202240896
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.
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
737 : 1, 11, 67, 737
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,737,836,399, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
737:11x 67
836:2x 2x 11x 19
399:3x 7x 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 3x 7x 11x 19 = 17556
Therefore, the value for common factors is 17556.
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 = 165202240896/(1x17556)
LCM = 165202240896/17556
LCM = 9410016
Thus, we can understand that the LCM of 672,737,836,399 is 9410016.
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FAQs on LCM of 672, 737, 836, 399
1. What is the LCM of 672, 737, 836, 399?
Answer: LCM of 672, 737, 836, 399 is 9410016.
2. How to calculate the LCM of 672, 737, 836, 399?
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 672, 737, 836, 399.
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}.