LCM of 232, 621, 627, 635, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 621, 627, 635, 812 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 232, 621, 627, 635, 812. So, keep reading to learn more.
Given numbers are 232,621,627,635,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,621,627,635,812 is 133843608360.
Find LCM of 232,621,627,635,812 with Prime Factorization
| 2 | 232, 621, 627, 635, 812 |
| 2 | 116, 621, 627, 635, 406 |
| 3 | 58, 621, 627, 635, 203 |
| 29 | 58, 207, 209, 635, 203 |
| 2, 207, 209, 635, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 2 x 207 x 209 x 635 x 7 = 133843608360
Therefore, the lowest common multiple of 232,621,627,635,812 is 133843608360.
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.
232 x 621 x 627 x 635 x 812 = 46577575709280
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
621 : 1, 3, 9, 23, 27, 69, 207, 621
627 : 1, 3, 11, 19, 33, 57, 209, 627
635 : 1, 5, 127, 635
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,621,627,635,812, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
621:3x 3x 3x 23
627:3x 11x 19
635:5x 127
812:2x 2x 7x 29
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 29 = 348
Therefore, the value for common factors is 348.
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 = 46577575709280/(1x348)
LCM = 46577575709280/348
LCM = 133843608360
Thus, we can understand that the LCM of 232,621,627,635,812 is 133843608360.
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FAQs on LCM of 232, 621, 627, 635, 812
1. What is the LCM of 232, 621, 627, 635, 812?
Answer: LCM of 232, 621, 627, 635, 812 is 133843608360.
2. How to calculate the LCM of 232, 621, 627, 635, 812?
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 232, 621, 627, 635, 812.
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}.