Find the LCM of 471, 471, 478, 291, 765 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 471, 471, 478, 291, 765. So, keep reading to learn more.
Given numbers are 471,471,478,291,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,471,478,291,765 is 5568788430.
Find LCM of 471,471,478,291,765 with Prime Factorization
3 | 471, 471, 478, 291, 765 |
157 | 157, 157, 478, 97, 255 |
1, 1, 478, 97, 255 |
Multiply the prime numbers at the bottom and the left side.
3 x 157 x 1 x 1 x 478 x 97 x 255 = 5568788430
Therefore, the lowest common multiple of 471,471,478,291,765 is 5568788430.
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.
471 x 471 x 478 x 291 x 765 = 23606094154770
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.
471 : 1, 3, 157, 471
471 : 1, 3, 157, 471
478 : 1, 2, 239, 478
291 : 1, 3, 97, 291
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,471,478,291,765, is 1.
Now, the common factors can be found like this.
471:3x 157
471:3x 157
478:2x 239
291:3x 97
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 157 = 4239
Therefore, the value for common factors is 4239.
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 = 23606094154770/(1x4239)
LCM = 23606094154770/4239
LCM = 5568788430
Thus, we can understand that the LCM of 471,471,478,291,765 is 5568788430.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 471, 478, 291, 765?
Answer: LCM of 471, 471, 478, 291, 765 is 5568788430.
2. How to calculate the LCM of 471, 471, 478, 291, 765?
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 471, 471, 478, 291, 765.
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}.