Find the LCM of 339, 415, 527, 498 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 339, 415, 527, 498. So, keep reading to learn more.
Given numbers are 339,415,527,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,415,527,498 is 148281990.
Find LCM of 339,415,527,498 with Prime Factorization
3 | 339, 415, 527, 498 |
83 | 113, 415, 527, 166 |
113, 5, 527, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 83 x 113 x 5 x 527 x 2 = 148281990
Therefore, the lowest common multiple of 339,415,527,498 is 148281990.
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.
339 x 415 x 527 x 498 = 36922215510
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.
339 : 1, 3, 113, 339
415 : 1, 5, 83, 415
527 : 1, 17, 31, 527
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,415,527,498, is 1.
Now, the common factors can be found like this.
339:3x 113
415:5x 83
527:17x 31
498:2x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 83 = 249
Therefore, the value for common factors is 249.
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 = 36922215510/(1x249)
LCM = 36922215510/249
LCM = 148281990
Thus, we can understand that the LCM of 339,415,527,498 is 148281990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 415, 527, 498?
Answer: LCM of 339, 415, 527, 498 is 148281990.
2. How to calculate the LCM of 339, 415, 527, 498?
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 339, 415, 527, 498.
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}.