Find the LCM of 769, 331, 291, 364, 559 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, 331, 291, 364, 559. So, keep reading to learn more.
Given numbers are 769,331,291,364,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,331,291,364,559 is 1159356928548.
Find LCM of 769,331,291,364,559 with Prime Factorization
13 | 769, 331, 291, 364, 559 |
769, 331, 291, 28, 43 |
Multiply the prime numbers at the bottom and the left side.
13 x 769 x 331 x 291 x 28 x 43 = 1159356928548
Therefore, the lowest common multiple of 769,331,291,364,559 is 1159356928548.
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 331 x 291 x 364 x 559 = 15071640071124
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
331 : 1, 331
291 : 1, 3, 97, 291
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,331,291,364,559, is 1.
Now, the common factors can be found like this.
769:769
331:331
291:3x 97
364:2x 2x 7x 13
559:13x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 15071640071124/(1x13)
LCM = 15071640071124/13
LCM = 1159356928548
Thus, we can understand that the LCM of 769,331,291,364,559 is 1159356928548.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 769, 331, 291, 364, 559?
Answer: LCM of 769, 331, 291, 364, 559 is 1159356928548.
2. How to calculate the LCM of 769, 331, 291, 364, 559?
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, 331, 291, 364, 559.
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}.