LCM of 213, 310, 309, 341, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 213, 310, 309, 341, 742 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 213, 310, 309, 341, 742. So, keep reading to learn more.
Given numbers are 213,310,309,341,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,310,309,341,742 is 27755248290.
Find LCM of 213,310,309,341,742 with Prime Factorization
| 2 | 213, 310, 309, 341, 742 |
| 3 | 213, 155, 309, 341, 371 |
| 31 | 71, 155, 103, 341, 371 |
| 71, 5, 103, 11, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 71 x 5 x 103 x 11 x 371 = 27755248290
Therefore, the lowest common multiple of 213,310,309,341,742 is 27755248290.
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.
213 x 310 x 309 x 341 x 742 = 5162476181940
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.
213 : 1, 3, 71, 213
310 : 1, 2, 5, 10, 31, 62, 155, 310
309 : 1, 3, 103, 309
341 : 1, 11, 31, 341
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,310,309,341,742, is 1.
Now, the common factors can be found like this.
213:3x 71
310:2x 5x 31
309:3x 103
341:11x 31
742:2x 7x 53
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 31 = 186
Therefore, the value for common factors is 186.
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 = 5162476181940/(1x186)
LCM = 5162476181940/186
LCM = 27755248290
Thus, we can understand that the LCM of 213,310,309,341,742 is 27755248290.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 213, 310, 309, 341, 742
1. What is the LCM of 213, 310, 309, 341, 742?
Answer: LCM of 213, 310, 309, 341, 742 is 27755248290.
2. How to calculate the LCM of 213, 310, 309, 341, 742?
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 213, 310, 309, 341, 742.
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}.