Find the LCM of 505, 507, 527, 958, 377 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 505, 507, 527, 958, 377. So, keep reading to learn more.
Given numbers are 505,507,527,958,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,507,527,958,377 is 3748637622990.
Find LCM of 505,507,527,958,377 with Prime Factorization
13 | 505, 507, 527, 958, 377 |
505, 39, 527, 958, 29 |
Multiply the prime numbers at the bottom and the left side.
13 x 505 x 39 x 527 x 958 x 29 = 3748637622990
Therefore, the lowest common multiple of 505,507,527,958,377 is 3748637622990.
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.
505 x 507 x 527 x 958 x 377 = 48732289098870
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.
505 : 1, 5, 101, 505
507 : 1, 3, 13, 39, 169, 507
527 : 1, 17, 31, 527
958 : 1, 2, 479, 958
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,507,527,958,377, is 1.
Now, the common factors can be found like this.
505:5x 101
507:3x 13x 13
527:17x 31
958:2x 479
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 48732289098870/(1x13)
LCM = 48732289098870/13
LCM = 3748637622990
Thus, we can understand that the LCM of 505,507,527,958,377 is 3748637622990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 505, 507, 527, 958, 377?
Answer: LCM of 505, 507, 527, 958, 377 is 3748637622990.
2. How to calculate the LCM of 505, 507, 527, 958, 377?
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 505, 507, 527, 958, 377.
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}.