LCM of 289, 185, 649, 629, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 185, 649, 629, 962 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 289, 185, 649, 629, 962. So, keep reading to learn more.
Given numbers are 289,185,649,629,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,185,649,629,962 is 902168410.
Find LCM of 289,185,649,629,962 with Prime Factorization
| 17 | 289, 185, 649, 629, 962 |
| 37 | 17, 185, 649, 37, 962 |
| 17, 5, 649, 1, 26 |
Multiply the prime numbers at the bottom and the left side.
17 x 37 x 17 x 5 x 649 x 1 x 26 = 902168410
Therefore, the lowest common multiple of 289,185,649,629,962 is 902168410.
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.
289 x 185 x 649 x 629 x 962 = 20996165405930
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.
289 : 1, 17, 289
185 : 1, 5, 37, 185
649 : 1, 11, 59, 649
629 : 1, 17, 37, 629
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,185,649,629,962, is 1.
Now, the common factors can be found like this.
289:17x 17
185:5x 37
649:11x 59
629:17x 37
962:2x 13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 37x 37 = 23273
Therefore, the value for common factors is 23273.
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 = 20996165405930/(1x23273)
LCM = 20996165405930/23273
LCM = 902168410
Thus, we can understand that the LCM of 289,185,649,629,962 is 902168410.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 289, 185, 649, 629, 962
1. What is the LCM of 289, 185, 649, 629, 962?
Answer: LCM of 289, 185, 649, 629, 962 is 902168410.
2. How to calculate the LCM of 289, 185, 649, 629, 962?
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 289, 185, 649, 629, 962.
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}.