LCM of 239, 893, 184, 576, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 239, 893, 184, 576, 943 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 239, 893, 184, 576, 943. So, keep reading to learn more.
Given numbers are 239,893,184,576,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 239,893,184,576,943 is 115926716736.
Find LCM of 239,893,184,576,943 with Prime Factorization
| 2 | 239, 893, 184, 576, 943 |
| 2 | 239, 893, 92, 288, 943 |
| 2 | 239, 893, 46, 144, 943 |
| 23 | 239, 893, 23, 72, 943 |
| 239, 893, 1, 72, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 239 x 893 x 1 x 72 x 41 = 115926716736
Therefore, the lowest common multiple of 239,893,184,576,943 is 115926716736.
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.
239 x 893 x 184 x 576 x 943 = 21330515879424
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.
239 : 1, 239
893 : 1, 19, 47, 893
184 : 1, 2, 4, 8, 23, 46, 92, 184
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,893,184,576,943, is 1.
Now, the common factors can be found like this.
239:239
893:19x 47
184:2x 2x 2x 23
576:2x 2x 2x 2x 2x 2x 3x 3
943:23x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 23 = 184
Therefore, the value for common factors is 184.
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 = 21330515879424/(1x184)
LCM = 21330515879424/184
LCM = 115926716736
Thus, we can understand that the LCM of 239,893,184,576,943 is 115926716736.
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FAQs on LCM of 239, 893, 184, 576, 943
1. What is the LCM of 239, 893, 184, 576, 943?
Answer: LCM of 239, 893, 184, 576, 943 is 115926716736.
2. How to calculate the LCM of 239, 893, 184, 576, 943?
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 239, 893, 184, 576, 943.
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}.