LCM of 692, 629, 812, 172, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 629, 812, 172, 145 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 692, 629, 812, 172, 145. So, keep reading to learn more.
Given numbers are 692,629,812,172,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,629,812,172,145 is 18997271860.
Find LCM of 692,629,812,172,145 with Prime Factorization
| 2 | 692, 629, 812, 172, 145 |
| 2 | 346, 629, 406, 86, 145 |
| 29 | 173, 629, 203, 43, 145 |
| 173, 629, 7, 43, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 173 x 629 x 7 x 43 x 5 = 18997271860
Therefore, the lowest common multiple of 692,629,812,172,145 is 18997271860.
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.
692 x 629 x 812 x 172 x 145 = 8814734143040
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.
692 : 1, 2, 4, 173, 346, 692
629 : 1, 17, 37, 629
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
172 : 1, 2, 4, 43, 86, 172
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,629,812,172,145, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
629:17x 37
812:2x 2x 7x 29
172:2x 2x 43
145:5x 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 2x 2x 29 = 464
Therefore, the value for common factors is 464.
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 = 8814734143040/(1x464)
LCM = 8814734143040/464
LCM = 18997271860
Thus, we can understand that the LCM of 692,629,812,172,145 is 18997271860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 692, 629, 812, 172, 145
1. What is the LCM of 692, 629, 812, 172, 145?
Answer: LCM of 692, 629, 812, 172, 145 is 18997271860.
2. How to calculate the LCM of 692, 629, 812, 172, 145?
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 692, 629, 812, 172, 145.
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}.