LCM of 627, 481, 968, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 481, 968, 468 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, 481, 968, 468. So, keep reading to learn more.
Given numbers are 627,481,968,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,481,968,468 is 79618968.
Find LCM of 627,481,968,468 with Prime Factorization
| 2 | 627, 481, 968, 468 |
| 2 | 627, 481, 484, 234 |
| 3 | 627, 481, 242, 117 |
| 11 | 209, 481, 242, 39 |
| 13 | 19, 481, 22, 39 |
| 19, 37, 22, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 19 x 37 x 22 x 3 = 79618968
Therefore, the lowest common multiple of 627,481,968,468 is 79618968.
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 481 x 968 x 468 = 136626149088
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
481 : 1, 13, 37, 481
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,481,968,468, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
481:13x 37
968:2x 2x 2x 11x 11
468:2x 2x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 136626149088/(1x1716)
LCM = 136626149088/1716
LCM = 79618968
Thus, we can understand that the LCM of 627,481,968,468 is 79618968.
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FAQs on LCM of 627, 481, 968, 468
1. What is the LCM of 627, 481, 968, 468?
Answer: LCM of 627, 481, 968, 468 is 79618968.
2. How to calculate the LCM of 627, 481, 968, 468?
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, 481, 968, 468.
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}.