LCM of 161, 981, 180, 874, 275
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 161, 981, 180, 874, 275 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 161, 981, 180, 874, 275. So, keep reading to learn more.
Given numbers are 161,981,180,874,275
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,981,180,874,275 is 3300966900.
Find LCM of 161,981,180,874,275 with Prime Factorization
| 2 | 161, 981, 180, 874, 275 |
| 3 | 161, 981, 90, 437, 275 |
| 3 | 161, 327, 30, 437, 275 |
| 5 | 161, 109, 10, 437, 275 |
| 23 | 161, 109, 2, 437, 55 |
| 7, 109, 2, 19, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 23 x 7 x 109 x 2 x 19 x 55 = 3300966900
Therefore, the lowest common multiple of 161,981,180,874,275 is 3300966900.
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.
161 x 981 x 180 x 874 x 275 = 6833001483000
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.
161 : 1, 7, 23, 161
981 : 1, 3, 9, 109, 327, 981
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
874 : 1, 2, 19, 23, 38, 46, 437, 874
275 : 1, 5, 11, 25, 55, 275
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,981,180,874,275, is 1.
Now, the common factors can be found like this.
161:7x 23
981:3x 3x 109
180:2x 2x 3x 3x 5
874:2x 19x 23
275:5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 23 = 2070
Therefore, the value for common factors is 2070.
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 = 6833001483000/(1x2070)
LCM = 6833001483000/2070
LCM = 3300966900
Thus, we can understand that the LCM of 161,981,180,874,275 is 3300966900.
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FAQs on LCM of 161, 981, 180, 874, 275
1. What is the LCM of 161, 981, 180, 874, 275?
Answer: LCM of 161, 981, 180, 874, 275 is 3300966900.
2. How to calculate the LCM of 161, 981, 180, 874, 275?
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 161, 981, 180, 874, 275.
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}.