LCM of 769, 228, 555, 379
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 228, 555, 379 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 769, 228, 555, 379. So, keep reading to learn more.
Given numbers are 769,228,555,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,228,555,379 is 12293403180.
Find LCM of 769,228,555,379 with Prime Factorization
| 3 | 769, 228, 555, 379 |
| 769, 76, 185, 379 |
Multiply the prime numbers at the bottom and the left side.
3 x 769 x 76 x 185 x 379 = 12293403180
Therefore, the lowest common multiple of 769,228,555,379 is 12293403180.
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.
769 x 228 x 555 x 379 = 36880209540
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.
769 : 1, 769
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
555 : 1, 3, 5, 15, 37, 111, 185, 555
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,228,555,379, is 1.
Now, the common factors can be found like this.
769:769
228:2x 2x 3x 19
555:3x 5x 37
379:379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 36880209540/(1x3)
LCM = 36880209540/3
LCM = 12293403180
Thus, we can understand that the LCM of 769,228,555,379 is 12293403180.
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FAQs on LCM of 769, 228, 555, 379
1. What is the LCM of 769, 228, 555, 379?
Answer: LCM of 769, 228, 555, 379 is 12293403180.
2. How to calculate the LCM of 769, 228, 555, 379?
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 769, 228, 555, 379.
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}.