Find the LCM of 635, 977, 381, 235 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 635, 977, 381, 235. So, keep reading to learn more.
Given numbers are 635,977,381,235
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,977,381,235 is 87475695.
Find LCM of 635,977,381,235 with Prime Factorization
5 | 635, 977, 381, 235 |
127 | 127, 977, 381, 47 |
1, 977, 3, 47 |
Multiply the prime numbers at the bottom and the left side.
5 x 127 x 1 x 977 x 3 x 47 = 87475695
Therefore, the lowest common multiple of 635,977,381,235 is 87475695.
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.
635 x 977 x 381 x 235 = 55547066325
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.
635 : 1, 5, 127, 635
977 : 1, 977
381 : 1, 3, 127, 381
235 : 1, 5, 47, 235
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,977,381,235, is 1.
Now, the common factors can be found like this.
635:5x 127
977:977
381:3x 127
235:5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 127 = 635
Therefore, the value for common factors is 635.
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 = 55547066325/(1x635)
LCM = 55547066325/635
LCM = 87475695
Thus, we can understand that the LCM of 635,977,381,235 is 87475695.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 977, 381, 235?
Answer: LCM of 635, 977, 381, 235 is 87475695.
2. How to calculate the LCM of 635, 977, 381, 235?
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 635, 977, 381, 235.
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}.