LCM of 333, 448, 911, 222
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 333, 448, 911, 222 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 333, 448, 911, 222. So, keep reading to learn more.
Given numbers are 333,448,911,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 333,448,911,222 is 135906624.
Find LCM of 333,448,911,222 with Prime Factorization
| 2 | 333, 448, 911, 222 |
| 3 | 333, 224, 911, 111 |
| 37 | 37, 224, 911, 111 |
| 1, 224, 911, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 1 x 224 x 911 x 3 = 135906624
Therefore, the lowest common multiple of 333,448,911,222 is 135906624.
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.
333 x 448 x 911 x 222 = 30171270528
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.
333 : 1, 3, 9, 37, 111, 333
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
911 : 1, 911
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,448,911,222, is 1.
Now, the common factors can be found like this.
333:3x 3x 37
448:2x 2x 2x 2x 2x 2x 7
911:911
222:2x 3x 37
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 37 = 222
Therefore, the value for common factors is 222.
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 = 30171270528/(1x222)
LCM = 30171270528/222
LCM = 135906624
Thus, we can understand that the LCM of 333,448,911,222 is 135906624.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 333, 448, 911, 222
1. What is the LCM of 333, 448, 911, 222?
Answer: LCM of 333, 448, 911, 222 is 135906624.
2. How to calculate the LCM of 333, 448, 911, 222?
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 333, 448, 911, 222.
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}.