LCM of 775, 303, 217, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 303, 217, 905 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 775, 303, 217, 905. So, keep reading to learn more.
Given numbers are 775,303,217,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,303,217,905 is 297523275.
Find LCM of 775,303,217,905 with Prime Factorization
| 5 | 775, 303, 217, 905 |
| 31 | 155, 303, 217, 181 |
| 5, 303, 7, 181 |
Multiply the prime numbers at the bottom and the left side.
5 x 31 x 5 x 303 x 7 x 181 = 297523275
Therefore, the lowest common multiple of 775,303,217,905 is 297523275.
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.
775 x 303 x 217 x 905 = 46116107625
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.
775 : 1, 5, 25, 31, 155, 775
303 : 1, 3, 101, 303
217 : 1, 7, 31, 217
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,303,217,905, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
303:3x 101
217:7x 31
905:5x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 31 = 155
Therefore, the value for common factors is 155.
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 = 46116107625/(1x155)
LCM = 46116107625/155
LCM = 297523275
Thus, we can understand that the LCM of 775,303,217,905 is 297523275.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 775, 303, 217, 905
1. What is the LCM of 775, 303, 217, 905?
Answer: LCM of 775, 303, 217, 905 is 297523275.
2. How to calculate the LCM of 775, 303, 217, 905?
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 775, 303, 217, 905.
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}.