LCM of 431, 813, 869, 402, 469
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 813, 869, 402, 469 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 431, 813, 869, 402, 469. So, keep reading to learn more.
Given numbers are 431,813,869,402,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,813,869,402,469 is 285621194166.
Find LCM of 431,813,869,402,469 with Prime Factorization
| 3 | 431, 813, 869, 402, 469 |
| 67 | 431, 271, 869, 134, 469 |
| 431, 271, 869, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 67 x 431 x 271 x 869 x 2 x 7 = 285621194166
Therefore, the lowest common multiple of 431,813,869,402,469 is 285621194166.
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.
431 x 813 x 869 x 402 x 469 = 57409860027366
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.
431 : 1, 431
813 : 1, 3, 271, 813
869 : 1, 11, 79, 869
402 : 1, 2, 3, 6, 67, 134, 201, 402
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,813,869,402,469, is 1.
Now, the common factors can be found like this.
431:431
813:3x 271
869:11x 79
402:2x 3x 67
469:7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 67 = 201
Therefore, the value for common factors is 201.
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 = 57409860027366/(1x201)
LCM = 57409860027366/201
LCM = 285621194166
Thus, we can understand that the LCM of 431,813,869,402,469 is 285621194166.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 431, 813, 869, 402, 469
1. What is the LCM of 431, 813, 869, 402, 469?
Answer: LCM of 431, 813, 869, 402, 469 is 285621194166.
2. How to calculate the LCM of 431, 813, 869, 402, 469?
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 431, 813, 869, 402, 469.
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}.