LCM of 631, 629, 612, 786, 182
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 631, 629, 612, 786, 182 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 631, 629, 612, 786, 182. So, keep reading to learn more.
Given numbers are 631,629,612,786,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 631,629,612,786,182 is 170331587244.
Find LCM of 631,629,612,786,182 with Prime Factorization
| 2 | 631, 629, 612, 786, 182 |
| 3 | 631, 629, 306, 393, 91 |
| 17 | 631, 629, 102, 131, 91 |
| 631, 37, 6, 131, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 631 x 37 x 6 x 131 x 91 = 170331587244
Therefore, the lowest common multiple of 631,629,612,786,182 is 170331587244.
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.
631 x 629 x 612 x 786 x 182 = 34747643797776
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.
631 : 1, 631
629 : 1, 17, 37, 629
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
786 : 1, 2, 3, 6, 131, 262, 393, 786
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,629,612,786,182, is 1.
Now, the common factors can be found like this.
631:631
629:17x 37
612:2x 2x 3x 3x 17
786:2x 3x 131
182:2x 7x 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 17 = 204
Therefore, the value for common factors is 204.
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 = 34747643797776/(1x204)
LCM = 34747643797776/204
LCM = 170331587244
Thus, we can understand that the LCM of 631,629,612,786,182 is 170331587244.
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FAQs on LCM of 631, 629, 612, 786, 182
1. What is the LCM of 631, 629, 612, 786, 182?
Answer: LCM of 631, 629, 612, 786, 182 is 170331587244.
2. How to calculate the LCM of 631, 629, 612, 786, 182?
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 631, 629, 612, 786, 182.
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}.