LCM of 309, 725, 741, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 725, 741, 247 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 309, 725, 741, 247. So, keep reading to learn more.
Given numbers are 309,725,741,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,725,741,247 is 55334175.
Find LCM of 309,725,741,247 with Prime Factorization
| 3 | 309, 725, 741, 247 |
| 13 | 103, 725, 247, 247 |
| 19 | 103, 725, 19, 19 |
| 103, 725, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 103 x 725 x 1 x 1 = 55334175
Therefore, the lowest common multiple of 309,725,741,247 is 55334175.
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.
309 x 725 x 741 x 247 = 41002623675
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.
309 : 1, 3, 103, 309
725 : 1, 5, 25, 29, 145, 725
741 : 1, 3, 13, 19, 39, 57, 247, 741
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,725,741,247, is 1.
Now, the common factors can be found like this.
309:3x 103
725:5x 5x 29
741:3x 13x 19
247:13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 19 = 741
Therefore, the value for common factors is 741.
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 = 41002623675/(1x741)
LCM = 41002623675/741
LCM = 55334175
Thus, we can understand that the LCM of 309,725,741,247 is 55334175.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 725, 741, 247
1. What is the LCM of 309, 725, 741, 247?
Answer: LCM of 309, 725, 741, 247 is 55334175.
2. How to calculate the LCM of 309, 725, 741, 247?
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 309, 725, 741, 247.
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}.