LCM of 627, 159, 496, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 159, 496, 968 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, 159, 496, 968. So, keep reading to learn more.
Given numbers are 627,159,496,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,159,496,968 is 181308336.
Find LCM of 627,159,496,968 with Prime Factorization
| 2 | 627, 159, 496, 968 |
| 2 | 627, 159, 248, 484 |
| 2 | 627, 159, 124, 242 |
| 3 | 627, 159, 62, 121 |
| 11 | 209, 53, 62, 121 |
| 19, 53, 62, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 19 x 53 x 62 x 11 = 181308336
Therefore, the lowest common multiple of 627,159,496,968 is 181308336.
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 159 x 496 x 968 = 47865400704
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
159 : 1, 3, 53, 159
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,159,496,968, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
159:3x 53
496:2x 2x 2x 2x 31
968:2x 2x 2x 11x 11
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 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 47865400704/(1x264)
LCM = 47865400704/264
LCM = 181308336
Thus, we can understand that the LCM of 627,159,496,968 is 181308336.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 627, 159, 496, 968
1. What is the LCM of 627, 159, 496, 968?
Answer: LCM of 627, 159, 496, 968 is 181308336.
2. How to calculate the LCM of 627, 159, 496, 968?
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, 159, 496, 968.
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}.