LCM of 876, 348, 114, 458, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 348, 114, 458, 609 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 876, 348, 114, 458, 609. So, keep reading to learn more.
Given numbers are 876,348,114,458,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,348,114,458,609 is 773729628.
Find LCM of 876,348,114,458,609 with Prime Factorization
| 2 | 876, 348, 114, 458, 609 |
| 2 | 438, 174, 57, 229, 609 |
| 3 | 219, 87, 57, 229, 609 |
| 29 | 73, 29, 19, 229, 203 |
| 73, 1, 19, 229, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 73 x 1 x 19 x 229 x 7 = 773729628
Therefore, the lowest common multiple of 876,348,114,458,609 is 773729628.
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.
876 x 348 x 114 x 458 x 609 = 9693284779584
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
114 : 1, 2, 3, 6, 19, 38, 57, 114
458 : 1, 2, 229, 458
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,348,114,458,609, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
348:2x 2x 3x 29
114:2x 3x 19
458:2x 229
609:3x 7x 29
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 3x 3x 3x 29 = 12528
Therefore, the value for common factors is 12528.
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 = 9693284779584/(1x12528)
LCM = 9693284779584/12528
LCM = 773729628
Thus, we can understand that the LCM of 876,348,114,458,609 is 773729628.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 876, 348, 114, 458, 609
1. What is the LCM of 876, 348, 114, 458, 609?
Answer: LCM of 876, 348, 114, 458, 609 is 773729628.
2. How to calculate the LCM of 876, 348, 114, 458, 609?
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 876, 348, 114, 458, 609.
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}.