LCM of 612, 728, 741, 308, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 728, 741, 308, 680 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 612, 728, 741, 308, 680. So, keep reading to learn more.
Given numbers are 612,728,741,308,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,728,741,308,680 is 116396280.
Find LCM of 612,728,741,308,680 with Prime Factorization
| 2 | 612, 728, 741, 308, 680 |
| 2 | 306, 364, 741, 154, 340 |
| 2 | 153, 182, 741, 77, 170 |
| 3 | 153, 91, 741, 77, 85 |
| 7 | 51, 91, 247, 77, 85 |
| 13 | 51, 13, 247, 11, 85 |
| 17 | 51, 1, 19, 11, 85 |
| 3, 1, 19, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 17 x 3 x 1 x 19 x 11 x 5 = 116396280
Therefore, the lowest common multiple of 612,728,741,308,680 is 116396280.
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.
612 x 728 x 741 x 308 x 680 = 69144977341440
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
741 : 1, 3, 13, 19, 39, 57, 247, 741
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,728,741,308,680, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
728:2x 2x 2x 7x 13
741:3x 13x 19
308:2x 2x 7x 11
680:2x 2x 2x 5x 17
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 2x 2x 3x 7x 13x 17 = 594048
Therefore, the value for common factors is 594048.
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 = 69144977341440/(1x594048)
LCM = 69144977341440/594048
LCM = 116396280
Thus, we can understand that the LCM of 612,728,741,308,680 is 116396280.
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FAQs on LCM of 612, 728, 741, 308, 680
1. What is the LCM of 612, 728, 741, 308, 680?
Answer: LCM of 612, 728, 741, 308, 680 is 116396280.
2. How to calculate the LCM of 612, 728, 741, 308, 680?
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 612, 728, 741, 308, 680.
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}.