LCM of 103, 775, 270, 243, 772
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 775, 270, 243, 772 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 103, 775, 270, 243, 772. So, keep reading to learn more.
Given numbers are 103,775,270,243,772
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,775,270,243,772 is 14974850700.
Find LCM of 103,775,270,243,772 with Prime Factorization
| 2 | 103, 775, 270, 243, 772 |
| 3 | 103, 775, 135, 243, 386 |
| 3 | 103, 775, 45, 81, 386 |
| 3 | 103, 775, 15, 27, 386 |
| 5 | 103, 775, 5, 9, 386 |
| 103, 155, 1, 9, 386 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 103 x 155 x 1 x 9 x 386 = 14974850700
Therefore, the lowest common multiple of 103,775,270,243,772 is 14974850700.
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.
103 x 775 x 270 x 243 x 772 = 4043209689000
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.
103 : 1, 103
775 : 1, 5, 25, 31, 155, 775
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
243 : 1, 3, 9, 27, 81, 243
772 : 1, 2, 4, 193, 386, 772
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,775,270,243,772, is 1.
Now, the common factors can be found like this.
103:103
775:5x 5x 31
270:2x 3x 3x 3x 5
243:3x 3x 3x 3x 3
772:2x 2x 193
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 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 4043209689000/(1x270)
LCM = 4043209689000/270
LCM = 14974850700
Thus, we can understand that the LCM of 103,775,270,243,772 is 14974850700.
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FAQs on LCM of 103, 775, 270, 243, 772
1. What is the LCM of 103, 775, 270, 243, 772?
Answer: LCM of 103, 775, 270, 243, 772 is 14974850700.
2. How to calculate the LCM of 103, 775, 270, 243, 772?
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 103, 775, 270, 243, 772.
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}.