LCM of 531, 174, 872, 177, 196
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 531, 174, 872, 177, 196 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 531, 174, 872, 177, 196. So, keep reading to learn more.
Given numbers are 531,174,872,177,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,174,872,177,196 is 657968472.
Find LCM of 531,174,872,177,196 with Prime Factorization
| 2 | 531, 174, 872, 177, 196 |
| 2 | 531, 87, 436, 177, 98 |
| 3 | 531, 87, 218, 177, 49 |
| 59 | 59, 29, 218, 177, 49 |
| 1, 29, 218, 3, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 1 x 29 x 218 x 3 x 49 = 657968472
Therefore, the lowest common multiple of 531,174,872,177,196 is 657968472.
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.
531 x 174 x 872 x 177 x 196 = 2795050069056
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.
531 : 1, 3, 9, 59, 177, 531
174 : 1, 2, 3, 6, 29, 58, 87, 174
872 : 1, 2, 4, 8, 109, 218, 436, 872
177 : 1, 3, 59, 177
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,174,872,177,196, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
174:2x 3x 29
872:2x 2x 2x 109
177:3x 59
196:2x 2x 7x 7
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 3x 3x 59 = 4248
Therefore, the value for common factors is 4248.
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 = 2795050069056/(1x4248)
LCM = 2795050069056/4248
LCM = 657968472
Thus, we can understand that the LCM of 531,174,872,177,196 is 657968472.
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FAQs on LCM of 531, 174, 872, 177, 196
1. What is the LCM of 531, 174, 872, 177, 196?
Answer: LCM of 531, 174, 872, 177, 196 is 657968472.
2. How to calculate the LCM of 531, 174, 872, 177, 196?
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 531, 174, 872, 177, 196.
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}.