LCM of 215, 344, 378, 584, 541
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 215, 344, 378, 584, 541 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 215, 344, 378, 584, 541. So, keep reading to learn more.
Given numbers are 215,344,378,584,541
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 215,344,378,584,541 is 12838384440.
Find LCM of 215,344,378,584,541 with Prime Factorization
| 2 | 215, 344, 378, 584, 541 |
| 2 | 215, 172, 189, 292, 541 |
| 2 | 215, 86, 189, 146, 541 |
| 43 | 215, 43, 189, 73, 541 |
| 5, 1, 189, 73, 541 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 43 x 5 x 1 x 189 x 73 x 541 = 12838384440
Therefore, the lowest common multiple of 215,344,378,584,541 is 12838384440.
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.
215 x 344 x 378 x 584 x 541 = 8832808494720
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.
215 : 1, 5, 43, 215
344 : 1, 2, 4, 8, 43, 86, 172, 344
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
584 : 1, 2, 4, 8, 73, 146, 292, 584
541 : 1, 541
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,344,378,584,541, is 1.
Now, the common factors can be found like this.
215:5x 43
344:2x 2x 2x 43
378:2x 3x 3x 3x 7
584:2x 2x 2x 73
541:541
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 2x 43 = 688
Therefore, the value for common factors is 688.
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 = 8832808494720/(1x688)
LCM = 8832808494720/688
LCM = 12838384440
Thus, we can understand that the LCM of 215,344,378,584,541 is 12838384440.
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FAQs on LCM of 215, 344, 378, 584, 541
1. What is the LCM of 215, 344, 378, 584, 541?
Answer: LCM of 215, 344, 378, 584, 541 is 12838384440.
2. How to calculate the LCM of 215, 344, 378, 584, 541?
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 215, 344, 378, 584, 541.
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}.