LCM of 154, 247, 408, 728, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 247, 408, 728, 614 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 154, 247, 408, 728, 614. So, keep reading to learn more.
Given numbers are 154,247,408,728,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,247,408,728,614 is 2382243864.
Find LCM of 154,247,408,728,614 with Prime Factorization
| 2 | 154, 247, 408, 728, 614 |
| 2 | 77, 247, 204, 364, 307 |
| 2 | 77, 247, 102, 182, 307 |
| 7 | 77, 247, 51, 91, 307 |
| 13 | 11, 247, 51, 13, 307 |
| 11, 19, 51, 1, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 11 x 19 x 51 x 1 x 307 = 2382243864
Therefore, the lowest common multiple of 154,247,408,728,614 is 2382243864.
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.
154 x 247 x 408 x 728 x 614 = 6937094131968
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
247 : 1, 13, 19, 247
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,247,408,728,614, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
247:13x 19
408:2x 2x 2x 3x 17
728:2x 2x 2x 7x 13
614:2x 307
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 2x 7x 13 = 2912
Therefore, the value for common factors is 2912.
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 = 6937094131968/(1x2912)
LCM = 6937094131968/2912
LCM = 2382243864
Thus, we can understand that the LCM of 154,247,408,728,614 is 2382243864.
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FAQs on LCM of 154, 247, 408, 728, 614
1. What is the LCM of 154, 247, 408, 728, 614?
Answer: LCM of 154, 247, 408, 728, 614 is 2382243864.
2. How to calculate the LCM of 154, 247, 408, 728, 614?
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 154, 247, 408, 728, 614.
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}.