LCM of 113, 323, 214, 785, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 323, 214, 785, 942 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, 323, 214, 785, 942. So, keep reading to learn more.
Given numbers are 113,323,214,785,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,323,214,785,942 is 18394401030.
Find LCM of 113,323,214,785,942 with Prime Factorization
| 2 | 113, 323, 214, 785, 942 |
| 157 | 113, 323, 107, 785, 471 |
| 113, 323, 107, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 157 x 113 x 323 x 107 x 5 x 3 = 18394401030
Therefore, the lowest common multiple of 113,323,214,785,942 is 18394401030.
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 323 x 214 x 785 x 942 = 5775841923420
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
323 : 1, 17, 19, 323
214 : 1, 2, 107, 214
785 : 1, 5, 157, 785
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,323,214,785,942, is 1.
Now, the common factors can be found like this.
113:113
323:17x 19
214:2x 107
785:5x 157
942:2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 157 = 314
Therefore, the value for common factors is 314.
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 = 5775841923420/(1x314)
LCM = 5775841923420/314
LCM = 18394401030
Thus, we can understand that the LCM of 113,323,214,785,942 is 18394401030.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 113, 323, 214, 785, 942
1. What is the LCM of 113, 323, 214, 785, 942?
Answer: LCM of 113, 323, 214, 785, 942 is 18394401030.
2. How to calculate the LCM of 113, 323, 214, 785, 942?
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, 323, 214, 785, 942.
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}.