LCM of 705, 705, 401, 303
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 705, 401, 303 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 705, 705, 401, 303. So, keep reading to learn more.
Given numbers are 705,705,401,303
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,705,401,303 is 28553205.
Find LCM of 705,705,401,303 with Prime Factorization
| 3 | 705, 705, 401, 303 |
| 5 | 235, 235, 401, 101 |
| 47 | 47, 47, 401, 101 |
| 1, 1, 401, 101 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 47 x 1 x 1 x 401 x 101 = 28553205
Therefore, the lowest common multiple of 705,705,401,303 is 28553205.
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.
705 x 705 x 401 x 303 = 60390028575
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
705 : 1, 3, 5, 15, 47, 141, 235, 705
401 : 1, 401
303 : 1, 3, 101, 303
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,705,401,303, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
705:3x 5x 47
401:401
303:3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 47 = 2115
Therefore, the value for common factors is 2115.
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 = 60390028575/(1x2115)
LCM = 60390028575/2115
LCM = 28553205
Thus, we can understand that the LCM of 705,705,401,303 is 28553205.
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FAQs on LCM of 705, 705, 401, 303
1. What is the LCM of 705, 705, 401, 303?
Answer: LCM of 705, 705, 401, 303 is 28553205.
2. How to calculate the LCM of 705, 705, 401, 303?
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 705, 705, 401, 303.
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}.