Find the LCM of 116, 121, 473, 628, 286 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 116, 121, 473, 628, 286. So, keep reading to learn more.
Given numbers are 116,121,473,628,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,121,473,628,286 is 1231841468.
Find LCM of 116,121,473,628,286 with Prime Factorization
2 | 116, 121, 473, 628, 286 |
2 | 58, 121, 473, 314, 143 |
11 | 29, 121, 473, 157, 143 |
29, 11, 43, 157, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 29 x 11 x 43 x 157 x 13 = 1231841468
Therefore, the lowest common multiple of 116,121,473,628,286 is 1231841468.
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.
116 x 121 x 473 x 628 x 286 = 1192422541024
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.
116 : 1, 2, 4, 29, 58, 116
121 : 1, 11, 121
473 : 1, 11, 43, 473
628 : 1, 2, 4, 157, 314, 628
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,121,473,628,286, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
121:11x 11
473:11x 43
628:2x 2x 157
286:2x 11x 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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 1192422541024/(1x968)
LCM = 1192422541024/968
LCM = 1231841468
Thus, we can understand that the LCM of 116,121,473,628,286 is 1231841468.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 116, 121, 473, 628, 286?
Answer: LCM of 116, 121, 473, 628, 286 is 1231841468.
2. How to calculate the LCM of 116, 121, 473, 628, 286?
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 116, 121, 473, 628, 286.
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}.