LCM of 612, 179, 574, 221, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 179, 574, 221, 167 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 612, 179, 574, 221, 167. So, keep reading to learn more.
Given numbers are 612,179,574,221,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,179,574,221,167 is 68256839196.
Find LCM of 612,179,574,221,167 with Prime Factorization
| 2 | 612, 179, 574, 221, 167 |
| 17 | 306, 179, 287, 221, 167 |
| 18, 179, 287, 13, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 18 x 179 x 287 x 13 x 167 = 68256839196
Therefore, the lowest common multiple of 612,179,574,221,167 is 68256839196.
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.
612 x 179 x 574 x 221 x 167 = 2320732532664
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
179 : 1, 179
574 : 1, 2, 7, 14, 41, 82, 287, 574
221 : 1, 13, 17, 221
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,179,574,221,167, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
179:179
574:2x 7x 41
221:13x 17
167:167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 2320732532664/(1x34)
LCM = 2320732532664/34
LCM = 68256839196
Thus, we can understand that the LCM of 612,179,574,221,167 is 68256839196.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 612, 179, 574, 221, 167
1. What is the LCM of 612, 179, 574, 221, 167?
Answer: LCM of 612, 179, 574, 221, 167 is 68256839196.
2. How to calculate the LCM of 612, 179, 574, 221, 167?
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 612, 179, 574, 221, 167.
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}.