LCM of 401, 764, 915, 401, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 764, 915, 401, 975 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 401, 764, 915, 401, 975. So, keep reading to learn more.
Given numbers are 401,764,915,401,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,764,915,401,975 is 18220998900.
Find LCM of 401,764,915,401,975 with Prime Factorization
| 3 | 401, 764, 915, 401, 975 |
| 5 | 401, 764, 305, 401, 325 |
| 401 | 401, 764, 61, 401, 65 |
| 1, 764, 61, 1, 65 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 401 x 1 x 764 x 61 x 1 x 65 = 18220998900
Therefore, the lowest common multiple of 401,764,915,401,975 is 18220998900.
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.
401 x 764 x 915 x 401 x 975 = 109599308383500
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.
401 : 1, 401
764 : 1, 2, 4, 191, 382, 764
915 : 1, 3, 5, 15, 61, 183, 305, 915
401 : 1, 401
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,764,915,401,975, is 1.
Now, the common factors can be found like this.
401:401
764:2x 2x 191
915:3x 5x 61
401:401
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 401 = 6015
Therefore, the value for common factors is 6015.
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 = 109599308383500/(1x6015)
LCM = 109599308383500/6015
LCM = 18220998900
Thus, we can understand that the LCM of 401,764,915,401,975 is 18220998900.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 401, 764, 915, 401, 975
1. What is the LCM of 401, 764, 915, 401, 975?
Answer: LCM of 401, 764, 915, 401, 975 is 18220998900.
2. How to calculate the LCM of 401, 764, 915, 401, 975?
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 401, 764, 915, 401, 975.
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}.