Find the LCM of 627, 988, 209, 613 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, 988, 209, 613. So, keep reading to learn more.
Given numbers are 627,988,209,613
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,988,209,613 is 19986252.
Find LCM of 627,988,209,613 with Prime Factorization
11 | 627, 988, 209, 613 |
19 | 57, 988, 19, 613 |
3, 52, 1, 613 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 3 x 52 x 1 x 613 = 19986252
Therefore, the lowest common multiple of 627,988,209,613 is 19986252.
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 988 x 209 x 613 = 79365406692
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
209 : 1, 11, 19, 209
613 : 1, 613
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,988,209,613, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
988:2x 2x 13x 19
209:11x 19
613:613
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19x 19 = 3971
Therefore, the value for common factors is 3971.
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 = 79365406692/(1x3971)
LCM = 79365406692/3971
LCM = 19986252
Thus, we can understand that the LCM of 627,988,209,613 is 19986252.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 988, 209, 613?
Answer: LCM of 627, 988, 209, 613 is 19986252.
2. How to calculate the LCM of 627, 988, 209, 613?
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, 988, 209, 613.
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}.