LCM of 229, 608, 363, 264, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 608, 363, 264, 964 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 229, 608, 363, 264, 964. So, keep reading to learn more.
Given numbers are 229,608,363,264,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,608,363,264,964 is 12180433056.
Find LCM of 229,608,363,264,964 with Prime Factorization
| 2 | 229, 608, 363, 264, 964 |
| 2 | 229, 304, 363, 132, 482 |
| 2 | 229, 152, 363, 66, 241 |
| 3 | 229, 76, 363, 33, 241 |
| 11 | 229, 76, 121, 11, 241 |
| 229, 76, 1, 11, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 229 x 76 x 1 x 11 x 241 = 12180433056
Therefore, the lowest common multiple of 229,608,363,264,964 is 12180433056.
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.
229 x 608 x 363 x 264 x 964 = 12862537307136
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.
229 : 1, 229
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
363 : 1, 3, 11, 33, 121, 363
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,608,363,264,964, is 1.
Now, the common factors can be found like this.
229:229
608:2x 2x 2x 2x 2x 19
363:3x 11x 11
264:2x 2x 2x 3x 11
964:2x 2x 241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 12862537307136/(1x1056)
LCM = 12862537307136/1056
LCM = 12180433056
Thus, we can understand that the LCM of 229,608,363,264,964 is 12180433056.
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FAQs on LCM of 229, 608, 363, 264, 964
1. What is the LCM of 229, 608, 363, 264, 964?
Answer: LCM of 229, 608, 363, 264, 964 is 12180433056.
2. How to calculate the LCM of 229, 608, 363, 264, 964?
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 229, 608, 363, 264, 964.
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}.