LCM of 159, 169, 469, 403, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 169, 469, 403, 942 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, 169, 469, 403, 942. So, keep reading to learn more.
Given numbers are 159,169,469,403,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,169,469,403,942 is 122672725266.
Find LCM of 159,169,469,403,942 with Prime Factorization
| 3 | 159, 169, 469, 403, 942 |
| 13 | 53, 169, 469, 403, 314 |
| 53, 13, 469, 31, 314 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 53 x 13 x 469 x 31 x 314 = 122672725266
Therefore, the lowest common multiple of 159,169,469,403,942 is 122672725266.
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 169 x 469 x 403 x 942 = 4784236285374
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
169 : 1, 13, 169
469 : 1, 7, 67, 469
403 : 1, 13, 31, 403
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,169,469,403,942, is 1.
Now, the common factors can be found like this.
159:3x 53
169:13x 13
469:7x 67
403:13x 31
942:2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 4784236285374/(1x39)
LCM = 4784236285374/39
LCM = 122672725266
Thus, we can understand that the LCM of 159,169,469,403,942 is 122672725266.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 159, 169, 469, 403, 942
1. What is the LCM of 159, 169, 469, 403, 942?
Answer: LCM of 159, 169, 469, 403, 942 is 122672725266.
2. How to calculate the LCM of 159, 169, 469, 403, 942?
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, 169, 469, 403, 942.
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}.