LCM of 329, 285, 627, 931, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 285, 627, 931, 747 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 329, 285, 627, 931, 747. So, keep reading to learn more.
Given numbers are 329,285,627,931,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,285,627,931,747 is 1797756345.
Find LCM of 329,285,627,931,747 with Prime Factorization
| 3 | 329, 285, 627, 931, 747 |
| 7 | 329, 95, 209, 931, 249 |
| 19 | 47, 95, 209, 133, 249 |
| 47, 5, 11, 7, 249 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 47 x 5 x 11 x 7 x 249 = 1797756345
Therefore, the lowest common multiple of 329,285,627,931,747 is 1797756345.
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.
329 x 285 x 627 x 931 x 747 = 40886372554335
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.
329 : 1, 7, 47, 329
285 : 1, 3, 5, 15, 19, 57, 95, 285
627 : 1, 3, 11, 19, 33, 57, 209, 627
931 : 1, 7, 19, 49, 133, 931
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,285,627,931,747, is 1.
Now, the common factors can be found like this.
329:7x 47
285:3x 5x 19
627:3x 11x 19
931:7x 7x 19
747:3x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 19x 19 = 22743
Therefore, the value for common factors is 22743.
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 = 40886372554335/(1x22743)
LCM = 40886372554335/22743
LCM = 1797756345
Thus, we can understand that the LCM of 329,285,627,931,747 is 1797756345.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 329, 285, 627, 931, 747
1. What is the LCM of 329, 285, 627, 931, 747?
Answer: LCM of 329, 285, 627, 931, 747 is 1797756345.
2. How to calculate the LCM of 329, 285, 627, 931, 747?
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 329, 285, 627, 931, 747.
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}.