LCM of 943, 272, 527, 589, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 943, 272, 527, 589, 159 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 943, 272, 527, 589, 159. So, keep reading to learn more.
Given numbers are 943,272,527,589,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,272,527,589,159 is 24021106896.
Find LCM of 943,272,527,589,159 with Prime Factorization
| 17 | 943, 272, 527, 589, 159 |
| 31 | 943, 16, 31, 589, 159 |
| 943, 16, 1, 19, 159 |
Multiply the prime numbers at the bottom and the left side.
17 x 31 x 943 x 16 x 1 x 19 x 159 = 24021106896
Therefore, the lowest common multiple of 943,272,527,589,159 is 24021106896.
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.
943 x 272 x 527 x 589 x 159 = 12659123334192
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.
943 : 1, 23, 41, 943
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
527 : 1, 17, 31, 527
589 : 1, 19, 31, 589
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,272,527,589,159, is 1.
Now, the common factors can be found like this.
943:23x 41
272:2x 2x 2x 2x 17
527:17x 31
589:19x 31
159:3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 31 = 527
Therefore, the value for common factors is 527.
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 = 12659123334192/(1x527)
LCM = 12659123334192/527
LCM = 24021106896
Thus, we can understand that the LCM of 943,272,527,589,159 is 24021106896.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 943, 272, 527, 589, 159
1. What is the LCM of 943, 272, 527, 589, 159?
Answer: LCM of 943, 272, 527, 589, 159 is 24021106896.
2. How to calculate the LCM of 943, 272, 527, 589, 159?
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 943, 272, 527, 589, 159.
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}.