LCM of 769, 352, 769, 799
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 352, 769, 799 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, 352, 769, 799. So, keep reading to learn more.
Given numbers are 769,352,769,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,352,769,799 is 216279712.
Find LCM of 769,352,769,799 with Prime Factorization
| 769 | 769, 352, 769, 799 |
| 1, 352, 1, 799 |
Multiply the prime numbers at the bottom and the left side.
769 x 1 x 352 x 1 x 799 = 216279712
Therefore, the lowest common multiple of 769,352,769,799 is 216279712.
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 352 x 769 x 799 = 166319098528
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
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
769 : 1, 769
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,352,769,799, is 1.
Now, the common factors can be found like this.
769:769
352:2x 2x 2x 2x 2x 11
769:769
799:17x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
769 = 769
Therefore, the value for common factors is 769.
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 = 166319098528/(1x769)
LCM = 166319098528/769
LCM = 216279712
Thus, we can understand that the LCM of 769,352,769,799 is 216279712.
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FAQs on LCM of 769, 352, 769, 799
1. What is the LCM of 769, 352, 769, 799?
Answer: LCM of 769, 352, 769, 799 is 216279712.
2. How to calculate the LCM of 769, 352, 769, 799?
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, 352, 769, 799.
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}.