LCM of 772, 149, 401, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 149, 401, 745 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 772, 149, 401, 745. So, keep reading to learn more.
Given numbers are 772,149,401,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,149,401,745 is 230631140.
Find LCM of 772,149,401,745 with Prime Factorization
| 149 | 772, 149, 401, 745 |
| 772, 1, 401, 5 |
Multiply the prime numbers at the bottom and the left side.
149 x 772 x 1 x 401 x 5 = 230631140
Therefore, the lowest common multiple of 772,149,401,745 is 230631140.
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.
772 x 149 x 401 x 745 = 34364039860
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.
772 : 1, 2, 4, 193, 386, 772
149 : 1, 149
401 : 1, 401
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,149,401,745, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
149:149
401:401
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
149 = 149
Therefore, the value for common factors is 149.
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 = 34364039860/(1x149)
LCM = 34364039860/149
LCM = 230631140
Thus, we can understand that the LCM of 772,149,401,745 is 230631140.
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FAQs on LCM of 772, 149, 401, 745
1. What is the LCM of 772, 149, 401, 745?
Answer: LCM of 772, 149, 401, 745 is 230631140.
2. How to calculate the LCM of 772, 149, 401, 745?
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 772, 149, 401, 745.
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}.