LCM of 159, 946, 942, 183
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 946, 942, 183 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 159, 946, 942, 183. So, keep reading to learn more.
Given numbers are 159,946,942,183
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,946,942,183 is 1440514878.
Find LCM of 159,946,942,183 with Prime Factorization
| 2 | 159, 946, 942, 183 |
| 3 | 159, 473, 471, 183 |
| 53, 473, 157, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 473 x 157 x 61 = 1440514878
Therefore, the lowest common multiple of 159,946,942,183 is 1440514878.
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.
159 x 946 x 942 x 183 = 25929267804
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.
159 : 1, 3, 53, 159
946 : 1, 2, 11, 22, 43, 86, 473, 946
942 : 1, 2, 3, 6, 157, 314, 471, 942
183 : 1, 3, 61, 183
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,946,942,183, is 1.
Now, the common factors can be found like this.
159:3x 53
946:2x 11x 43
942:2x 3x 157
183:3x 61
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 3 = 18
Therefore, the value for common factors is 18.
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 = 25929267804/(1x18)
LCM = 25929267804/18
LCM = 1440514878
Thus, we can understand that the LCM of 159,946,942,183 is 1440514878.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 159, 946, 942, 183
1. What is the LCM of 159, 946, 942, 183?
Answer: LCM of 159, 946, 942, 183 is 1440514878.
2. How to calculate the LCM of 159, 946, 942, 183?
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 159, 946, 942, 183.
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}.