Find the LCM of 209, 387, 634, 737, 387 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 209, 387, 634, 737, 387. So, keep reading to learn more.
Given numbers are 209,387,634,737,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,387,634,737,387 is 3435748074.
Find LCM of 209,387,634,737,387 with Prime Factorization
3 | 209, 387, 634, 737, 387 |
3 | 209, 129, 634, 737, 129 |
11 | 209, 43, 634, 737, 43 |
43 | 19, 43, 634, 67, 43 |
19, 1, 634, 67, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 43 x 19 x 1 x 634 x 67 x 1 = 3435748074
Therefore, the lowest common multiple of 209,387,634,737,387 is 3435748074.
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.
209 x 387 x 634 x 737 x 387 = 14625979551018
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.
209 : 1, 11, 19, 209
387 : 1, 3, 9, 43, 129, 387
634 : 1, 2, 317, 634
737 : 1, 11, 67, 737
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,387,634,737,387, is 1.
Now, the common factors can be found like this.
209:11x 19
387:3x 3x 43
634:2x 317
737:11x 67
387:3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 43 = 4257
Therefore, the value for common factors is 4257.
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 = 14625979551018/(1x4257)
LCM = 14625979551018/4257
LCM = 3435748074
Thus, we can understand that the LCM of 209,387,634,737,387 is 3435748074.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 209, 387, 634, 737, 387?
Answer: LCM of 209, 387, 634, 737, 387 is 3435748074.
2. How to calculate the LCM of 209, 387, 634, 737, 387?
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 209, 387, 634, 737, 387.
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}.