Find the LCM of 477, 121, 715, 611 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 477, 121, 715, 611. So, keep reading to learn more.
Given numbers are 477,121,715,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,121,715,611 is 176325435.
Find LCM of 477,121,715,611 with Prime Factorization
11 | 477, 121, 715, 611 |
13 | 477, 11, 65, 611 |
477, 11, 5, 47 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 477 x 11 x 5 x 47 = 176325435
Therefore, the lowest common multiple of 477,121,715,611 is 176325435.
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.
477 x 121 x 715 x 611 = 25214537205
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.
477 : 1, 3, 9, 53, 159, 477
121 : 1, 11, 121
715 : 1, 5, 11, 13, 55, 65, 143, 715
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,121,715,611, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
121:11x 11
715:5x 11x 13
611:13x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 25214537205/(1x143)
LCM = 25214537205/143
LCM = 176325435
Thus, we can understand that the LCM of 477,121,715,611 is 176325435.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 477, 121, 715, 611?
Answer: LCM of 477, 121, 715, 611 is 176325435.
2. How to calculate the LCM of 477, 121, 715, 611?
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 477, 121, 715, 611.
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}.