LCM of 229, 871, 654, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 871, 654, 963 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, 871, 654, 963. So, keep reading to learn more.
Given numbers are 229,871,654,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,871,654,963 is 41873225706.
Find LCM of 229,871,654,963 with Prime Factorization
| 3 | 229, 871, 654, 963 |
| 229, 871, 218, 321 |
Multiply the prime numbers at the bottom and the left side.
3 x 229 x 871 x 218 x 321 = 41873225706
Therefore, the lowest common multiple of 229,871,654,963 is 41873225706.
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 871 x 654 x 963 = 125619677118
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
871 : 1, 13, 67, 871
654 : 1, 2, 3, 6, 109, 218, 327, 654
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,871,654,963, is 1.
Now, the common factors can be found like this.
229:229
871:13x 67
654:2x 3x 109
963:3x 3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 125619677118/(1x3)
LCM = 125619677118/3
LCM = 41873225706
Thus, we can understand that the LCM of 229,871,654,963 is 41873225706.
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FAQs on LCM of 229, 871, 654, 963
1. What is the LCM of 229, 871, 654, 963?
Answer: LCM of 229, 871, 654, 963 is 41873225706.
2. How to calculate the LCM of 229, 871, 654, 963?
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, 871, 654, 963.
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}.