LCM of 433, 147, 866, 772
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 147, 866, 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 433, 147, 866, 772. So, keep reading to learn more.
Given numbers are 433,147,866,772
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,147,866,772 is 49138572.
Find LCM of 433,147,866,772 with Prime Factorization
| 2 | 433, 147, 866, 772 |
| 433 | 433, 147, 433, 386 |
| 1, 147, 1, 386 |
Multiply the prime numbers at the bottom and the left side.
2 x 433 x 1 x 147 x 1 x 386 = 49138572
Therefore, the lowest common multiple of 433,147,866,772 is 49138572.
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.
433 x 147 x 866 x 772 = 42554003352
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.
433 : 1, 433
147 : 1, 3, 7, 21, 49, 147
866 : 1, 2, 433, 866
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 433,147,866,772, is 1.
Now, the common factors can be found like this.
433:433
147:3x 7x 7
866:2x 433
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 433 = 866
Therefore, the value for common factors is 866.
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 = 42554003352/(1x866)
LCM = 42554003352/866
LCM = 49138572
Thus, we can understand that the LCM of 433,147,866,772 is 49138572.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 433, 147, 866, 772
1. What is the LCM of 433, 147, 866, 772?
Answer: LCM of 433, 147, 866, 772 is 49138572.
2. How to calculate the LCM of 433, 147, 866, 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 433, 147, 866, 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}.