Find the LCM of 647, 513, 765, 209, 138 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 647, 513, 765, 209, 138. So, keep reading to learn more.
Given numbers are 647,513,765,209,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,513,765,209,138 is 14275492110.
Find LCM of 647,513,765,209,138 with Prime Factorization
3 | 647, 513, 765, 209, 138 |
3 | 647, 171, 255, 209, 46 |
19 | 647, 57, 85, 209, 46 |
647, 3, 85, 11, 46 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 647 x 3 x 85 x 11 x 46 = 14275492110
Therefore, the lowest common multiple of 647,513,765,209,138 is 14275492110.
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.
647 x 513 x 765 x 209 x 138 = 7323327452430
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.
647 : 1, 647
513 : 1, 3, 9, 19, 27, 57, 171, 513
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
209 : 1, 11, 19, 209
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,513,765,209,138, is 1.
Now, the common factors can be found like this.
647:647
513:3x 3x 3x 19
765:3x 3x 5x 17
209:11x 19
138:2x 3x 23
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 3x 19 = 513
Therefore, the value for common factors is 513.
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 = 7323327452430/(1x513)
LCM = 7323327452430/513
LCM = 14275492110
Thus, we can understand that the LCM of 647,513,765,209,138 is 14275492110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 647, 513, 765, 209, 138?
Answer: LCM of 647, 513, 765, 209, 138 is 14275492110.
2. How to calculate the LCM of 647, 513, 765, 209, 138?
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 647, 513, 765, 209, 138.
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}.