Find the LCM of 677, 131, 724, 766 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 677, 131, 724, 766. So, keep reading to learn more.
Given numbers are 677,131,724,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,131,724,766 is 24592195604.
Find LCM of 677,131,724,766 with Prime Factorization
2 | 677, 131, 724, 766 |
677, 131, 362, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 677 x 131 x 362 x 383 = 24592195604
Therefore, the lowest common multiple of 677,131,724,766 is 24592195604.
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.
677 x 131 x 724 x 766 = 49184391208
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.
677 : 1, 677
131 : 1, 131
724 : 1, 2, 4, 181, 362, 724
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,131,724,766, is 1.
Now, the common factors can be found like this.
677:677
131:131
724:2x 2x 181
766:2x 383
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 49184391208/(1x2)
LCM = 49184391208/2
LCM = 24592195604
Thus, we can understand that the LCM of 677,131,724,766 is 24592195604.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 677, 131, 724, 766?
Answer: LCM of 677, 131, 724, 766 is 24592195604.
2. How to calculate the LCM of 677, 131, 724, 766?
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 677, 131, 724, 766.
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}.