LCM of 243, 715, 805, 785, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 715, 805, 785, 308 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 243, 715, 805, 785, 308. So, keep reading to learn more.
Given numbers are 243,715,805,785,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,715,805,785,308 is 17567009460.
Find LCM of 243,715,805,785,308 with Prime Factorization
| 5 | 243, 715, 805, 785, 308 |
| 7 | 243, 143, 161, 157, 308 |
| 11 | 243, 143, 23, 157, 44 |
| 243, 13, 23, 157, 4 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 243 x 13 x 23 x 157 x 4 = 17567009460
Therefore, the lowest common multiple of 243,715,805,785,308 is 17567009460.
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.
243 x 715 x 805 x 785 x 308 = 33816493210500
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.
243 : 1, 3, 9, 27, 81, 243
715 : 1, 5, 11, 13, 55, 65, 143, 715
805 : 1, 5, 7, 23, 35, 115, 161, 805
785 : 1, 5, 157, 785
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,715,805,785,308, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
715:5x 11x 13
805:5x 7x 23
785:5x 157
308:2x 2x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7x 11 = 1925
Therefore, the value for common factors is 1925.
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 = 33816493210500/(1x1925)
LCM = 33816493210500/1925
LCM = 17567009460
Thus, we can understand that the LCM of 243,715,805,785,308 is 17567009460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 243, 715, 805, 785, 308
1. What is the LCM of 243, 715, 805, 785, 308?
Answer: LCM of 243, 715, 805, 785, 308 is 17567009460.
2. How to calculate the LCM of 243, 715, 805, 785, 308?
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 243, 715, 805, 785, 308.
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}.