LCM of 152, 614, 207, 231, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 152, 614, 207, 231, 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 152, 614, 207, 231, 968. So, keep reading to learn more.
Given numbers are 152,614,207,231,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,614,207,231,968 is 8181552456.
Find LCM of 152,614,207,231,968 with Prime Factorization
| 2 | 152, 614, 207, 231, 968 |
| 2 | 76, 307, 207, 231, 484 |
| 2 | 38, 307, 207, 231, 242 |
| 3 | 19, 307, 207, 231, 121 |
| 11 | 19, 307, 69, 77, 121 |
| 19, 307, 69, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 19 x 307 x 69 x 7 x 11 = 8181552456
Therefore, the lowest common multiple of 152,614,207,231,968 is 8181552456.
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.
152 x 614 x 207 x 231 x 968 = 4319859696768
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
614 : 1, 2, 307, 614
207 : 1, 3, 9, 23, 69, 207
231 : 1, 3, 7, 11, 21, 33, 77, 231
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 152,614,207,231,968, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
614:2x 307
207:3x 3x 23
231:3x 7x 11
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 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 4319859696768/(1x528)
LCM = 4319859696768/528
LCM = 8181552456
Thus, we can understand that the LCM of 152,614,207,231,968 is 8181552456.
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FAQs on LCM of 152, 614, 207, 231, 968
1. What is the LCM of 152, 614, 207, 231, 968?
Answer: LCM of 152, 614, 207, 231, 968 is 8181552456.
2. How to calculate the LCM of 152, 614, 207, 231, 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 152, 614, 207, 231, 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}.