Find the LCM of 671, 635, 381, 596 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 671, 635, 381, 596. So, keep reading to learn more.
Given numbers are 671,635,381,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,635,381,596 is 761839980.
Find LCM of 671,635,381,596 with Prime Factorization
127 | 671, 635, 381, 596 |
671, 5, 3, 596 |
Multiply the prime numbers at the bottom and the left side.
127 x 671 x 5 x 3 x 596 = 761839980
Therefore, the lowest common multiple of 671,635,381,596 is 761839980.
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.
671 x 635 x 381 x 596 = 96753677460
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.
671 : 1, 11, 61, 671
635 : 1, 5, 127, 635
381 : 1, 3, 127, 381
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,635,381,596, is 1.
Now, the common factors can be found like this.
671:11x 61
635:5x 127
381:3x 127
596:2x 2x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
127 = 127
Therefore, the value for common factors is 127.
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 = 96753677460/(1x127)
LCM = 96753677460/127
LCM = 761839980
Thus, we can understand that the LCM of 671,635,381,596 is 761839980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 671, 635, 381, 596?
Answer: LCM of 671, 635, 381, 596 is 761839980.
2. How to calculate the LCM of 671, 635, 381, 596?
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 671, 635, 381, 596.
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}.