LCM of 174, 116, 221, 196
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 116, 221, 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 174, 116, 221, 196. So, keep reading to learn more.
Given numbers are 174,116,221,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,116,221,196 is 3768492.
Find LCM of 174,116,221,196 with Prime Factorization
| 2 | 174, 116, 221, 196 |
| 2 | 87, 58, 221, 98 |
| 29 | 87, 29, 221, 49 |
| 3, 1, 221, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 3 x 1 x 221 x 49 = 3768492
Therefore, the lowest common multiple of 174,116,221,196 is 3768492.
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.
174 x 116 x 221 x 196 = 874290144
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
116 : 1, 2, 4, 29, 58, 116
221 : 1, 13, 17, 221
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 174,116,221,196, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
116:2x 2x 29
221:13x 17
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 29 = 232
Therefore, the value for common factors is 232.
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 = 874290144/(1x232)
LCM = 874290144/232
LCM = 3768492
Thus, we can understand that the LCM of 174,116,221,196 is 3768492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 174, 116, 221, 196
1. What is the LCM of 174, 116, 221, 196?
Answer: LCM of 174, 116, 221, 196 is 3768492.
2. How to calculate the LCM of 174, 116, 221, 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 174, 116, 221, 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}.