Find the LCM of 113, 942, 537, 642, 223 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 113, 942, 537, 642, 223. So, keep reading to learn more.
Given numbers are 113,942,537,642,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,942,537,642,223 is 454643533074.
Find LCM of 113,942,537,642,223 with Prime Factorization
2 | 113, 942, 537, 642, 223 |
3 | 113, 471, 537, 321, 223 |
113, 157, 179, 107, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 157 x 179 x 107 x 223 = 454643533074
Therefore, the lowest common multiple of 113,942,537,642,223 is 454643533074.
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.
113 x 942 x 537 x 642 x 223 = 8183583595332
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.
113 : 1, 113
942 : 1, 2, 3, 6, 157, 314, 471, 942
537 : 1, 3, 179, 537
642 : 1, 2, 3, 6, 107, 214, 321, 642
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,942,537,642,223, is 1.
Now, the common factors can be found like this.
113:113
942:2x 3x 157
537:3x 179
642:2x 3x 107
223:223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 8183583595332/(1x18)
LCM = 8183583595332/18
LCM = 454643533074
Thus, we can understand that the LCM of 113,942,537,642,223 is 454643533074.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 113, 942, 537, 642, 223?
Answer: LCM of 113, 942, 537, 642, 223 is 454643533074.
2. How to calculate the LCM of 113, 942, 537, 642, 223?
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 113, 942, 537, 642, 223.
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}.