Find the LCM of 627, 963, 548, 409, 867 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 627, 963, 548, 409, 867. So, keep reading to learn more.
Given numbers are 627,963,548,409,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,963,548,409,867 is 13036898445516.
Find LCM of 627,963,548,409,867 with Prime Factorization
3 | 627, 963, 548, 409, 867 |
209, 321, 548, 409, 289 |
Multiply the prime numbers at the bottom and the left side.
3 x 209 x 321 x 548 x 409 x 289 = 13036898445516
Therefore, the lowest common multiple of 627,963,548,409,867 is 13036898445516.
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.
627 x 963 x 548 x 409 x 867 = 117332086009644
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
963 : 1, 3, 9, 107, 321, 963
548 : 1, 2, 4, 137, 274, 548
409 : 1, 409
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,963,548,409,867, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
963:3x 3x 107
548:2x 2x 137
409:409
867:3x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 117332086009644/(1x9)
LCM = 117332086009644/9
LCM = 13036898445516
Thus, we can understand that the LCM of 627,963,548,409,867 is 13036898445516.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 963, 548, 409, 867?
Answer: LCM of 627, 963, 548, 409, 867 is 13036898445516.
2. How to calculate the LCM of 627, 963, 548, 409, 867?
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 627, 963, 548, 409, 867.
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}.