LCM of 423, 867, 629, 235
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 423, 867, 629, 235 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 423, 867, 629, 235. So, keep reading to learn more.
Given numbers are 423,867,629,235
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 423,867,629,235 is 22615695.
Find LCM of 423,867,629,235 with Prime Factorization
| 3 | 423, 867, 629, 235 |
| 17 | 141, 289, 629, 235 |
| 47 | 141, 17, 37, 235 |
| 3, 17, 37, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 47 x 3 x 17 x 37 x 5 = 22615695
Therefore, the lowest common multiple of 423,867,629,235 is 22615695.
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.
423 x 867 x 629 x 235 = 54209820915
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.
423 : 1, 3, 9, 47, 141, 423
867 : 1, 3, 17, 51, 289, 867
629 : 1, 17, 37, 629
235 : 1, 5, 47, 235
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,867,629,235, is 1.
Now, the common factors can be found like this.
423:3x 3x 47
867:3x 17x 17
629:17x 37
235:5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 47 = 2397
Therefore, the value for common factors is 2397.
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 = 54209820915/(1x2397)
LCM = 54209820915/2397
LCM = 22615695
Thus, we can understand that the LCM of 423,867,629,235 is 22615695.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 423, 867, 629, 235
1. What is the LCM of 423, 867, 629, 235?
Answer: LCM of 423, 867, 629, 235 is 22615695.
2. How to calculate the LCM of 423, 867, 629, 235?
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 423, 867, 629, 235.
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}.