LCM of 471, 935, 174, 260, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 935, 174, 260, 745 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, 935, 174, 260, 745. So, keep reading to learn more.
Given numbers are 471,935,174,260,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,935,174,260,745 is 98950986420.
Find LCM of 471,935,174,260,745 with Prime Factorization
| 2 | 471, 935, 174, 260, 745 |
| 3 | 471, 935, 87, 130, 745 |
| 5 | 157, 935, 29, 130, 745 |
| 157, 187, 29, 26, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 157 x 187 x 29 x 26 x 149 = 98950986420
Therefore, the lowest common multiple of 471,935,174,260,745 is 98950986420.
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 935 x 174 x 260 x 745 = 14842647963000
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
935 : 1, 5, 11, 17, 55, 85, 187, 935
174 : 1, 2, 3, 6, 29, 58, 87, 174
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,935,174,260,745, is 1.
Now, the common factors can be found like this.
471:3x 157
935:5x 11x 17
174:2x 3x 29
260:2x 2x 5x 13
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 14842647963000/(1x150)
LCM = 14842647963000/150
LCM = 98950986420
Thus, we can understand that the LCM of 471,935,174,260,745 is 98950986420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 935, 174, 260, 745
1. What is the LCM of 471, 935, 174, 260, 745?
Answer: LCM of 471, 935, 174, 260, 745 is 98950986420.
2. How to calculate the LCM of 471, 935, 174, 260, 745?
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, 935, 174, 260, 745.
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}.