LCM of 189, 544, 738, 287, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 544, 738, 287, 412 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 189, 544, 738, 287, 412. So, keep reading to learn more.
Given numbers are 189,544,738,287,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,544,738,287,412 is 434191968.
Find LCM of 189,544,738,287,412 with Prime Factorization
| 2 | 189, 544, 738, 287, 412 |
| 2 | 189, 272, 369, 287, 206 |
| 3 | 189, 136, 369, 287, 103 |
| 3 | 63, 136, 123, 287, 103 |
| 7 | 21, 136, 41, 287, 103 |
| 41 | 3, 136, 41, 41, 103 |
| 3, 136, 1, 1, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 41 x 3 x 136 x 1 x 1 x 103 = 434191968
Therefore, the lowest common multiple of 189,544,738,287,412 is 434191968.
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.
189 x 544 x 738 x 287 x 412 = 8972142826752
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
287 : 1, 7, 41, 287
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,544,738,287,412, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
544:2x 2x 2x 2x 2x 17
738:2x 3x 3x 41
287:7x 41
412:2x 2x 103
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 3x 3x 7x 41 = 20664
Therefore, the value for common factors is 20664.
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 = 8972142826752/(1x20664)
LCM = 8972142826752/20664
LCM = 434191968
Thus, we can understand that the LCM of 189,544,738,287,412 is 434191968.
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FAQs on LCM of 189, 544, 738, 287, 412
1. What is the LCM of 189, 544, 738, 287, 412?
Answer: LCM of 189, 544, 738, 287, 412 is 434191968.
2. How to calculate the LCM of 189, 544, 738, 287, 412?
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 189, 544, 738, 287, 412.
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}.