LCM of 769, 706, 394, 464, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 706, 394, 464, 788 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, 706, 394, 464, 788. So, keep reading to learn more.
Given numbers are 769,706,394,464,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,706,394,464,788 is 24813341456.
Find LCM of 769,706,394,464,788 with Prime Factorization
| 2 | 769, 706, 394, 464, 788 |
| 2 | 769, 353, 197, 232, 394 |
| 197 | 769, 353, 197, 116, 197 |
| 769, 353, 1, 116, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 197 x 769 x 353 x 1 x 116 x 1 = 24813341456
Therefore, the lowest common multiple of 769,706,394,464,788 is 24813341456.
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 706 x 394 x 464 x 788 = 78211652269312
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
706 : 1, 2, 353, 706
394 : 1, 2, 197, 394
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,706,394,464,788, is 1.
Now, the common factors can be found like this.
769:769
706:2x 353
394:2x 197
464:2x 2x 2x 2x 29
788:2x 2x 197
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 2x 197 = 3152
Therefore, the value for common factors is 3152.
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 = 78211652269312/(1x3152)
LCM = 78211652269312/3152
LCM = 24813341456
Thus, we can understand that the LCM of 769,706,394,464,788 is 24813341456.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 769, 706, 394, 464, 788
1. What is the LCM of 769, 706, 394, 464, 788?
Answer: LCM of 769, 706, 394, 464, 788 is 24813341456.
2. How to calculate the LCM of 769, 706, 394, 464, 788?
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, 706, 394, 464, 788.
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}.