LCM of 463, 628, 286, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 628, 286, 156 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 463, 628, 286, 156. So, keep reading to learn more.
Given numbers are 463,628,286,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,628,286,156 is 124737756.
Find LCM of 463,628,286,156 with Prime Factorization
| 2 | 463, 628, 286, 156 |
| 2 | 463, 314, 143, 78 |
| 13 | 463, 157, 143, 39 |
| 463, 157, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 463 x 157 x 11 x 3 = 124737756
Therefore, the lowest common multiple of 463,628,286,156 is 124737756.
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.
463 x 628 x 286 x 156 = 12972726624
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.
463 : 1, 463
628 : 1, 2, 4, 157, 314, 628
286 : 1, 2, 11, 13, 22, 26, 143, 286
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,628,286,156, is 1.
Now, the common factors can be found like this.
463:463
628:2x 2x 157
286:2x 11x 13
156:2x 2x 3x 13
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 13 = 104
Therefore, the value for common factors is 104.
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 = 12972726624/(1x104)
LCM = 12972726624/104
LCM = 124737756
Thus, we can understand that the LCM of 463,628,286,156 is 124737756.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 463, 628, 286, 156
1. What is the LCM of 463, 628, 286, 156?
Answer: LCM of 463, 628, 286, 156 is 124737756.
2. How to calculate the LCM of 463, 628, 286, 156?
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 463, 628, 286, 156.
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}.