LCM of 305, 741, 724, 867, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 741, 724, 867, 684 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 305, 741, 724, 867, 684. So, keep reading to learn more.
Given numbers are 305,741,724,867,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,741,724,867,684 is 141865146540.
Find LCM of 305,741,724,867,684 with Prime Factorization
| 2 | 305, 741, 724, 867, 684 |
| 2 | 305, 741, 362, 867, 342 |
| 3 | 305, 741, 181, 867, 171 |
| 19 | 305, 247, 181, 289, 57 |
| 305, 13, 181, 289, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 305 x 13 x 181 x 289 x 3 = 141865146540
Therefore, the lowest common multiple of 305,741,724,867,684 is 141865146540.
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.
305 x 741 x 724 x 867 x 684 = 97035760233360
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.
305 : 1, 5, 61, 305
741 : 1, 3, 13, 19, 39, 57, 247, 741
724 : 1, 2, 4, 181, 362, 724
867 : 1, 3, 17, 51, 289, 867
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,741,724,867,684, is 1.
Now, the common factors can be found like this.
305:5x 61
741:3x 13x 19
724:2x 2x 181
867:3x 17x 17
684:2x 2x 3x 3x 19
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 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 97035760233360/(1x684)
LCM = 97035760233360/684
LCM = 141865146540
Thus, we can understand that the LCM of 305,741,724,867,684 is 141865146540.
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FAQs on LCM of 305, 741, 724, 867, 684
1. What is the LCM of 305, 741, 724, 867, 684?
Answer: LCM of 305, 741, 724, 867, 684 is 141865146540.
2. How to calculate the LCM of 305, 741, 724, 867, 684?
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 305, 741, 724, 867, 684.
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}.