Find the LCM of 578, 527, 401, 375, 923 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 578, 527, 401, 375, 923. So, keep reading to learn more.
Given numbers are 578,527,401,375,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,527,401,375,923 is 2486948967750.
Find LCM of 578,527,401,375,923 with Prime Factorization
17 | 578, 527, 401, 375, 923 |
34, 31, 401, 375, 923 |
Multiply the prime numbers at the bottom and the left side.
17 x 34 x 31 x 401 x 375 x 923 = 2486948967750
Therefore, the lowest common multiple of 578,527,401,375,923 is 2486948967750.
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.
578 x 527 x 401 x 375 x 923 = 42278132451750
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.
578 : 1, 2, 17, 34, 289, 578
527 : 1, 17, 31, 527
401 : 1, 401
375 : 1, 3, 5, 15, 25, 75, 125, 375
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,527,401,375,923, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
527:17x 31
401:401
375:3x 5x 5x 5
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 42278132451750/(1x17)
LCM = 42278132451750/17
LCM = 2486948967750
Thus, we can understand that the LCM of 578,527,401,375,923 is 2486948967750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 527, 401, 375, 923?
Answer: LCM of 578, 527, 401, 375, 923 is 2486948967750.
2. How to calculate the LCM of 578, 527, 401, 375, 923?
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 578, 527, 401, 375, 923.
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}.