LCM of 426, 781, 232, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 781, 232, 506 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 426, 781, 232, 506. So, keep reading to learn more.
Given numbers are 426,781,232,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,781,232,506 is 12502248.
Find LCM of 426,781,232,506 with Prime Factorization
| 2 | 426, 781, 232, 506 |
| 11 | 213, 781, 116, 253 |
| 71 | 213, 71, 116, 23 |
| 3, 1, 116, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 71 x 3 x 1 x 116 x 23 = 12502248
Therefore, the lowest common multiple of 426,781,232,506 is 12502248.
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.
426 x 781 x 232 x 506 = 39057022752
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
781 : 1, 11, 71, 781
232 : 1, 2, 4, 8, 29, 58, 116, 232
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,781,232,506, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
781:11x 71
232:2x 2x 2x 29
506:2x 11x 23
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 11x 71 = 3124
Therefore, the value for common factors is 3124.
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 = 39057022752/(1x3124)
LCM = 39057022752/3124
LCM = 12502248
Thus, we can understand that the LCM of 426,781,232,506 is 12502248.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 426, 781, 232, 506
1. What is the LCM of 426, 781, 232, 506?
Answer: LCM of 426, 781, 232, 506 is 12502248.
2. How to calculate the LCM of 426, 781, 232, 506?
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 426, 781, 232, 506.
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}.