Find the LCM of 335, 469, 938, 771, 125 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 335, 469, 938, 771, 125. So, keep reading to learn more.
Given numbers are 335,469,938,771,125
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,469,938,771,125 is 90399750.
Find LCM of 335,469,938,771,125 with Prime Factorization
5 | 335, 469, 938, 771, 125 |
7 | 67, 469, 938, 771, 25 |
67 | 67, 67, 134, 771, 25 |
1, 1, 2, 771, 25 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 67 x 1 x 1 x 2 x 771 x 25 = 90399750
Therefore, the lowest common multiple of 335,469,938,771,125 is 90399750.
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.
335 x 469 x 938 x 771 x 125 = 14203156721250
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.
335 : 1, 5, 67, 335
469 : 1, 7, 67, 469
938 : 1, 2, 7, 14, 67, 134, 469, 938
771 : 1, 3, 257, 771
125 : 1, 5, 25, 125
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,469,938,771,125, is 1.
Now, the common factors can be found like this.
335:5x 67
469:7x 67
938:2x 7x 67
771:3x 257
125:5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 67x 67 = 157115
Therefore, the value for common factors is 157115.
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 = 14203156721250/(1x157115)
LCM = 14203156721250/157115
LCM = 90399750
Thus, we can understand that the LCM of 335,469,938,771,125 is 90399750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 335, 469, 938, 771, 125?
Answer: LCM of 335, 469, 938, 771, 125 is 90399750.
2. How to calculate the LCM of 335, 469, 938, 771, 125?
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 335, 469, 938, 771, 125.
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}.