Find the LCM of 634, 286, 121, 222 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 634, 286, 121, 222. So, keep reading to learn more.
Given numbers are 634,286,121,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,286,121,222 is 110698302.
Find LCM of 634,286,121,222 with Prime Factorization
2 | 634, 286, 121, 222 |
11 | 317, 143, 121, 111 |
317, 13, 11, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 317 x 13 x 11 x 111 = 110698302
Therefore, the lowest common multiple of 634,286,121,222 is 110698302.
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.
634 x 286 x 121 x 222 = 4870725288
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.
634 : 1, 2, 317, 634
286 : 1, 2, 11, 13, 22, 26, 143, 286
121 : 1, 11, 121
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,286,121,222, is 1.
Now, the common factors can be found like this.
634:2x 317
286:2x 11x 13
121:11x 11
222:2x 3x 37
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 11 = 44
Therefore, the value for common factors is 44.
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 = 4870725288/(1x44)
LCM = 4870725288/44
LCM = 110698302
Thus, we can understand that the LCM of 634,286,121,222 is 110698302.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 634, 286, 121, 222?
Answer: LCM of 634, 286, 121, 222 is 110698302.
2. How to calculate the LCM of 634, 286, 121, 222?
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 634, 286, 121, 222.
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}.